GCD of 716, 902, 78, 971 Calculator

Given Input numbers are 716, 902, 78, 971

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 716, 902, 78, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 902, 78, 971 is 1.

Therefore, GCD of numbers 716, 902, 78, 971 is 1

Given Input Data is 716, 902, 78, 971

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 971 is 971

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(716, 902) = 322916

GCD(716, 902) = ( 716 x 902 ) / 322916

GCD(716, 902) = 645832 / 322916

GCD(716, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 716, 902, 78, 971 is 1

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• GCD of 666, 867, 26, 556
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• GCD of 650, 808, 14, 331

1. What is the GCD of 716, 902, 78, 971?

GCD of 716, 902, 78, 971 is 1

2. Where do I get the detailed procedure to find GCD of 716, 902, 78, 971?

You can find a detailed procedure to find GCD of 716, 902, 78, 971 on our page.

3. How to find GCD of 716, 902, 78, 971 on a calculator?

You can find the GCD of 716, 902, 78, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.