Question

Find the greatest number which divides 105 and 180, leaving any remainder.

A) 45
B) 15
C) 35
D) 25

Answer 1

The question requires finding the greatest common divisor of 105 and 180, which is 15. The greatest number that divides both numbers without leaving a remainder is 15.

Step-by-step explanation:

The question asks us to find the greatest number that divides both 105 and 180, leaving no remainder. This is a question about finding the greatest common divisor (GCD) of two numbers. To find the GCD, we need to look at the factors of both numbers and identify the largest number that is a factor of both.

Here are the factors:

• Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105
• Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The largest common factor that appears in both lists is 15. Therefore, the answer is B) 15.