GCD of 956, 871, 51, 825 Calculator

Given Input numbers are 956, 871, 51, 825

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

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 51

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

1, 3, 17, 51

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 956, 871, 51, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 871, 51, 825 is 1.

Therefore, GCD of numbers 956, 871, 51, 825 is 1

Given Input Data is 956, 871, 51, 825

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 871 is 13 x 67

Prime Factorization of 51 is 3 x 17

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(956, 871) = 832676

GCD(956, 871) = ( 956 x 871 ) / 832676

GCD(956, 871) = 832676 / 832676

GCD(956, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 956, 871, 51, 825 is 1

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1. What is the GCD of 956, 871, 51, 825?

GCD of 956, 871, 51, 825 is 1

2. Where do I get the detailed procedure to find GCD of 956, 871, 51, 825?

You can find a detailed procedure to find GCD of 956, 871, 51, 825 on our page.

3. How to find GCD of 956, 871, 51, 825 on a calculator?

You can find the GCD of 956, 871, 51, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.