GCD of 896, 159, 951, 972 Calculator

Given Input numbers are 896, 159, 951, 972

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 159

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

1, 3, 53, 159

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 896, 159, 951, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 159, 951, 972 is 1.

Therefore, GCD of numbers 896, 159, 951, 972 is 1

Given Input Data is 896, 159, 951, 972

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 159 is 3 x 53

Prime Factorization of 951 is 3 x 317

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(896, 159) = 142464

GCD(896, 159) = ( 896 x 159 ) / 142464

GCD(896, 159) = 142464 / 142464

GCD(896, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 896, 159, 951, 972 is 1

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1. What is the GCD of 896, 159, 951, 972?

GCD of 896, 159, 951, 972 is 1

2. Where do I get the detailed procedure to find GCD of 896, 159, 951, 972?

You can find a detailed procedure to find GCD of 896, 159, 951, 972 on our page.

3. How to find GCD of 896, 159, 951, 972 on a calculator?

You can find the GCD of 896, 159, 951, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.