GCD of 976, 656, 59, 159 Calculator

Given Input numbers are 976, 656, 59, 159

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 976, 656, 59, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 656, 59, 159 is 1.

Therefore, GCD of numbers 976, 656, 59, 159 is 1

Given Input Data is 976, 656, 59, 159

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 59 is 59

Prime Factorization of 159 is 3 x 53

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(976, 656) = 40016

GCD(976, 656) = ( 976 x 656 ) / 40016

GCD(976, 656) = 640256 / 40016

GCD(976, 656) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 59

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

LCM(16, 59) = 944

GCD(16, 59) = ( 16 x 59 ) / 944

GCD(16, 59) = 944 / 944

GCD(16, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 976, 656, 59, 159 is 1

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1. What is the GCD of 976, 656, 59, 159?

GCD of 976, 656, 59, 159 is 1

2. Where do I get the detailed procedure to find GCD of 976, 656, 59, 159?

You can find a detailed procedure to find GCD of 976, 656, 59, 159 on our page.

3. How to find GCD of 976, 656, 59, 159 on a calculator?

You can find the GCD of 976, 656, 59, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.