GCD of 954, 156, 647, 959 Calculator

Given Input numbers are 954, 156, 647, 959

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 954, 156, 647, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 156, 647, 959 is 1.

Therefore, GCD of numbers 954, 156, 647, 959 is 1

Given Input Data is 954, 156, 647, 959

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 647 is 647

Prime Factorization of 959 is 7 x 137

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(954, 156) = 24804

GCD(954, 156) = ( 954 x 156 ) / 24804

GCD(954, 156) = 148824 / 24804

GCD(954, 156) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 647

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

LCM(6, 647) = 3882

GCD(6, 647) = ( 6 x 647 ) / 3882

GCD(6, 647) = 3882 / 3882

GCD(6, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 954, 156, 647, 959 is 1

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1. What is the GCD of 954, 156, 647, 959?

GCD of 954, 156, 647, 959 is 1

2. Where do I get the detailed procedure to find GCD of 954, 156, 647, 959?

You can find a detailed procedure to find GCD of 954, 156, 647, 959 on our page.

3. How to find GCD of 954, 156, 647, 959 on a calculator?

You can find the GCD of 954, 156, 647, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.