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Use Euclid's Division Algorithm to find the HCF of 125 and 225?
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Use Euclid's Division Algorithm to find the HCF of 125 and 225?
Let a= 225 and b=125
by Euclid divison algorithms
a= b× q+r
where a= divisor , b= dividend, q = quotient and r= remainder.
225 = 125×1+100
125= 100× 1 +25
100= 25 × 4 +0
HCF = 25
by Euclid divison algorithms
a= b× q+r
where a= divisor , b= dividend, q = quotient and r= remainder.
225 = 125×1+100
125= 100× 1 +25
100= 25 × 4 +0
HCF = 25
Community Answer
Use Euclid's Division Algorithm to find the HCF of 125 and 225?
Euclid's Division Algorithm to find the HCF of 125 and 225
Step 1: Divide the larger number by the smaller number
- In this case, 225 ÷ 125 = 1, with a remainder of 100.
Step 2: Repeat the process with the divisor and the remainder
- Now, divide 125 by 100 which gives 1 with a remainder of 25.
Step 3: Continue this process until the remainder is 0
- Divide 100 by 25 to get 4 with no remainder.
- Since the remainder is now 0, the divisor at this step, which is 25, is the HCF of 125 and 225.
Therefore, the HCF of 125 and 225 is 25, which means 25 is the largest number that can exactly divide both 125 and 225. This process follows Euclid's Division Algorithm, which is commonly used to find the highest common factor of two numbers.
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Use Euclid's Division Algorithm to find the HCF of 125 and 225?
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Use Euclid's Division Algorithm to find the HCF of 125 and 225? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use Euclid's Division Algorithm to find the HCF of 125 and 225? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use Euclid's Division Algorithm to find the HCF of 125 and 225?.
Use Euclid's Division Algorithm to find the HCF of 125 and 225? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use Euclid's Division Algorithm to find the HCF of 125 and 225? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use Euclid's Division Algorithm to find the HCF of 125 and 225?.
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