GCD of 660, 725, 120, 921 Calculator

Given Input numbers are 660, 725, 120, 921

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 660, 725, 120, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 725, 120, 921 is 1.

Therefore, GCD of numbers 660, 725, 120, 921 is 1

Given Input Data is 660, 725, 120, 921

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 921 is 3 x 307

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(660, 725) = 95700

GCD(660, 725) = ( 660 x 725 ) / 95700

GCD(660, 725) = 478500 / 95700

GCD(660, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 120

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

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

GCD(5, 120) = 600 / 120

GCD(5, 120) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 921

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

LCM(5, 921) = 4605

GCD(5, 921) = ( 5 x 921 ) / 4605

GCD(5, 921) = 4605 / 4605

GCD(5, 921) = 1

GCD of 660, 725, 120, 921 is 1

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1. What is the GCD of 660, 725, 120, 921?

GCD of 660, 725, 120, 921 is 1

2. Where do I get the detailed procedure to find GCD of 660, 725, 120, 921?

You can find a detailed procedure to find GCD of 660, 725, 120, 921 on our page.

3. How to find GCD of 660, 725, 120, 921 on a calculator?

You can find the GCD of 660, 725, 120, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.