GCD of 876, 470, 785, 972 Calculator

Given Input numbers are 876, 470, 785, 972

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 876, 470, 785, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 470, 785, 972 is 1.

Therefore, GCD of numbers 876, 470, 785, 972 is 1

Given Input Data is 876, 470, 785, 972

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 785 is 5 x 157

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(876, 470) = 205860

GCD(876, 470) = ( 876 x 470 ) / 205860

GCD(876, 470) = 411720 / 205860

GCD(876, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 876, 470, 785, 972 is 1

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1. What is the GCD of 876, 470, 785, 972?

GCD of 876, 470, 785, 972 is 1

2. Where do I get the detailed procedure to find GCD of 876, 470, 785, 972?

You can find a detailed procedure to find GCD of 876, 470, 785, 972 on our page.

3. How to find GCD of 876, 470, 785, 972 on a calculator?

You can find the GCD of 876, 470, 785, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.