GCD of 635, 975, 524, 110 Calculator

Given Input numbers are 635, 975, 524, 110

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 635, 975, 524, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 975, 524, 110 is 1.

Therefore, GCD of numbers 635, 975, 524, 110 is 1

Given Input Data is 635, 975, 524, 110

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 635 is 5 x 127

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 110 is 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(635, 975) = 123825

GCD(635, 975) = ( 635 x 975 ) / 123825

GCD(635, 975) = 619125 / 123825

GCD(635, 975) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 524

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 524) = 2620

GCD(5, 524) = ( 5 x 524 ) / 2620

GCD(5, 524) = 2620 / 2620

GCD(5, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 635, 975, 524, 110 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 317, 655, 634
• GCD of 522, 185, 430, 524
• GCD of 899, 764, 771, 305
• GCD of 227, 492, 112, 245
• GCD of 818, 608, 614, 885

1. What is the GCD of 635, 975, 524, 110?

GCD of 635, 975, 524, 110 is 1

2. Where do I get the detailed procedure to find GCD of 635, 975, 524, 110?

You can find a detailed procedure to find GCD of 635, 975, 524, 110 on our page.

3. How to find GCD of 635, 975, 524, 110 on a calculator?

You can find the GCD of 635, 975, 524, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.