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The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?
Most Upvoted Answer
The largest number which divides 70 and 125,leaving remainders 5 & 8,r...
70-5=65 &
125-8=117
Prime factors of
65=5×13
117=3×3×13
H.C.F.=13
option no.(a)
125-8=117
Prime factors of
65=5×13
117=3×3×13
H.C.F.=13
option no.(a)
Community Answer
The largest number which divides 70 and 125,leaving remainders 5 & 8,r...
Explanation:
The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively can be found using the concept of the Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
Step 1: Finding the Divisors of the Differences
- The difference between 70 and 5 is 65
- The difference between 125 and 8 is 117
Step 2: Finding the Common Factors
- We need to find the common factors of 65 and 117
- The common factors of 65 are 1, 5, 13, and 65
- The common factors of 117 are 1, 3, 9, 13, 39, and 117
Step 3: Determining the Largest Common Factor
- The largest common factor between 65 and 117 is 13
Therefore, the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is 13. This is why the correct option is (a) 13.
Explanation:
The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively can be found using the concept of the Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
Step 1: Finding the Divisors of the Differences
- The difference between 70 and 5 is 65
- The difference between 125 and 8 is 117
Step 2: Finding the Common Factors
- We need to find the common factors of 65 and 117
- The common factors of 65 are 1, 5, 13, and 65
- The common factors of 117 are 1, 3, 9, 13, 39, and 117
Step 3: Determining the Largest Common Factor
- The largest common factor between 65 and 117 is 13
Therefore, the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is 13. This is why the correct option is (a) 13.
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The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?
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The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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 The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?.
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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 The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?.
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