GCD of 268, 952, 51, 872 Calculator

Given Input numbers are 268, 952, 51, 872

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 268, 952, 51, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 952, 51, 872 is 1.

Therefore, GCD of numbers 268, 952, 51, 872 is 1

Given Input Data is 268, 952, 51, 872

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(268, 952) = 63784

GCD(268, 952) = ( 268 x 952 ) / 63784

GCD(268, 952) = 255136 / 63784

GCD(268, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 268, 952, 51, 872 is 1

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1. What is the GCD of 268, 952, 51, 872?

GCD of 268, 952, 51, 872 is 1

2. Where do I get the detailed procedure to find GCD of 268, 952, 51, 872?

You can find a detailed procedure to find GCD of 268, 952, 51, 872 on our page.

3. How to find GCD of 268, 952, 51, 872 on a calculator?

You can find the GCD of 268, 952, 51, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.