GCD of 270, 956, 951, 632 Calculator

Given Input numbers are 270, 956, 951, 632

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 951

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

1, 3, 317, 951

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 270, 956, 951, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 956, 951, 632 is 1.

Therefore, GCD of numbers 270, 956, 951, 632 is 1

Given Input Data is 270, 956, 951, 632

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 951 is 3 x 317

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(270, 956) = 129060

GCD(270, 956) = ( 270 x 956 ) / 129060

GCD(270, 956) = 258120 / 129060

GCD(270, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 951

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

LCM(2, 951) = 1902

GCD(2, 951) = ( 2 x 951 ) / 1902

GCD(2, 951) = 1902 / 1902

GCD(2, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 270, 956, 951, 632 is 1

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1. What is the GCD of 270, 956, 951, 632?

GCD of 270, 956, 951, 632 is 1

2. Where do I get the detailed procedure to find GCD of 270, 956, 951, 632?

You can find a detailed procedure to find GCD of 270, 956, 951, 632 on our page.

3. How to find GCD of 270, 956, 951, 632 on a calculator?

You can find the GCD of 270, 956, 951, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.