GCD of 657, 716, 847, 961 Calculator

Given Input numbers are 657, 716, 847, 961

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 716

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

1, 2, 4, 179, 358, 716

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 657, 716, 847, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 716, 847, 961 is 1.

Therefore, GCD of numbers 657, 716, 847, 961 is 1

Given Input Data is 657, 716, 847, 961

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 961 is 31 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(657, 716) = 470412

GCD(657, 716) = ( 657 x 716 ) / 470412

GCD(657, 716) = 470412 / 470412

GCD(657, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 657, 716, 847, 961 is 1

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1. What is the GCD of 657, 716, 847, 961?

GCD of 657, 716, 847, 961 is 1

2. Where do I get the detailed procedure to find GCD of 657, 716, 847, 961?

You can find a detailed procedure to find GCD of 657, 716, 847, 961 on our page.

3. How to find GCD of 657, 716, 847, 961 on a calculator?

You can find the GCD of 657, 716, 847, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.