Question

The largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is
a) 260
b) 75
c) 65
d) 13

Answer 1

Answer:

13 is the answer for this question

Answer 2

The correct option is, (d) 13.

What is factorization?

• Factorisation or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or a matrix, etc

What is the formula for factorisation?

• The general factorization formula is expressed as N = Xa × Yb × Zc.
• Here, X, Y, Z represent the factors of a factorized number.

According to the question:

Given:

The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is?

Subtract the remainder 8 and 10 from 60 and 75 respectively:

60 - 8 = 52

75 - 10 = 65

Finding the HCF of 52 and 65 using prime factorization:

52 = 2 x 2 x 13

65 = 5 x 13

HCF of 52 and 65 = 13

Hence, The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively is 13.

Learn more about factorization here,

https://brainly.in/question/40721807?msp_poc_exp=5

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