GCD of 975, 264, 220, 775 Calculator

Given Input numbers are 975, 264, 220, 775

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

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 975, 264, 220, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 264, 220, 775 is 1.

Therefore, GCD of numbers 975, 264, 220, 775 is 1

Given Input Data is 975, 264, 220, 775

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

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 775 is 5 x 5 x 31

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(975, 264) = 85800

GCD(975, 264) = ( 975 x 264 ) / 85800

GCD(975, 264) = 257400 / 85800

GCD(975, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 220

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

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

GCD(3, 220) = 660 / 660

GCD(3, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 975, 264, 220, 775 is 1

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1. What is the GCD of 975, 264, 220, 775?

GCD of 975, 264, 220, 775 is 1

2. Where do I get the detailed procedure to find GCD of 975, 264, 220, 775?

You can find a detailed procedure to find GCD of 975, 264, 220, 775 on our page.

3. How to find GCD of 975, 264, 220, 775 on a calculator?

You can find the GCD of 975, 264, 220, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.