GCD of 951, 975, 897, 156 Calculator

Given Input numbers are 951, 975, 897, 156

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

Divisors of 951

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

1, 3, 317, 951

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

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

Greatest Common Divisior

We found the divisors of 951, 975, 897, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 975, 897, 156 is 3.

Therefore, GCD of numbers 951, 975, 897, 156 is 3

Given Input Data is 951, 975, 897, 156

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

Prime Factorization of 951 is 3 x 317

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 897 is 3 x 13 x 23

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(951, 975) = 309075

GCD(951, 975) = ( 951 x 975 ) / 309075

GCD(951, 975) = 927225 / 309075

GCD(951, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 897

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

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

GCD(3, 897) = 2691 / 897

GCD(3, 897) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 156

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

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

GCD(3, 156) = 468 / 156

GCD(3, 156) = 3

GCD of 951, 975, 897, 156 is 3

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1. What is the GCD of 951, 975, 897, 156?

GCD of 951, 975, 897, 156 is 3

2. Where do I get the detailed procedure to find GCD of 951, 975, 897, 156?

You can find a detailed procedure to find GCD of 951, 975, 897, 156 on our page.

3. How to find GCD of 951, 975, 897, 156 on a calculator?

You can find the GCD of 951, 975, 897, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.