GCD of 857, 101, 713, 656 Calculator

Given Input numbers are 857, 101, 713, 656

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 857, 101, 713, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 101, 713, 656 is 1.

Therefore, GCD of numbers 857, 101, 713, 656 is 1

Given Input Data is 857, 101, 713, 656

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

Prime Factorization of 857 is 857

Prime Factorization of 101 is 101

Prime Factorization of 713 is 23 x 31

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(857, 101) = 86557

GCD(857, 101) = ( 857 x 101 ) / 86557

GCD(857, 101) = 86557 / 86557

GCD(857, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 857, 101, 713, 656 is 1

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1. What is the GCD of 857, 101, 713, 656?

GCD of 857, 101, 713, 656 is 1

2. Where do I get the detailed procedure to find GCD of 857, 101, 713, 656?

You can find a detailed procedure to find GCD of 857, 101, 713, 656 on our page.

3. How to find GCD of 857, 101, 713, 656 on a calculator?

You can find the GCD of 857, 101, 713, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.