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Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion?
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Find the HCF and LCM of the following pairs of number by prime factori...
To find the HCF and LCM of the given pairs of numbers by prime factorization method, we need to first find the prime factors of each number.
Pair 1: 112 and 64
Prime factors of 112 = 2 x 2 x 2 x 2 x 7 = 2^4 x 7
Prime factors of 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2^6
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 2^4 = 16
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^6 x 7 = 112
Pair 2: 25 and 120
Prime factors of 25 = 5 x 5 = 5^2
Prime factors of 120 = 2 x 2 x 2 x 3 x 5 = 2^3 x 3 x 5
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 5
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^3 x 3 x 5^2 = 600
Pair 3: 216 and 72
Prime factors of 216 = 2 x 2 x 2 x 3 x 3 x 3 = 2^3 x 3^3
Prime factors of 72 = 2 x 2 x 2 x 3 x 3 = 2^3 x 3^2
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 2^3 x 3 = 24
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^3 x 3^3 = 216
Pair 1: 112 and 64
Prime factors of 112 = 2 x 2 x 2 x 2 x 7 = 2^4 x 7
Prime factors of 64 = 2 x 2 x 2 x 2 x 2 x 2 = 2^6
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 2^4 = 16
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^6 x 7 = 112
Pair 2: 25 and 120
Prime factors of 25 = 5 x 5 = 5^2
Prime factors of 120 = 2 x 2 x 2 x 3 x 5 = 2^3 x 3 x 5
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 5
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^3 x 3 x 5^2 = 600
Pair 3: 216 and 72
Prime factors of 216 = 2 x 2 x 2 x 3 x 3 x 3 = 2^3 x 3^3
Prime factors of 72 = 2 x 2 x 2 x 3 x 3 = 2^3 x 3^2
HCF
HCF is the product of the common prime factors raised to the lowest power:
HCF = 2^3 x 3 = 24
LCM
LCM is the product of all prime factors raised to the highest power:
LCM = 2^3 x 3^3 = 216
Community Answer
Find the HCF and LCM of the following pairs of number by prime factori...
216
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Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion?
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Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion?.
Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF and LCM of the following pairs of number by prime factorization method(i) 112 and64 (ii) 25 and 120 (iii) 216 and 72 can you solve this qurstion?.
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