GCD of 252, 917, 896, 966 Calculator

Given Input numbers are 252, 917, 896, 966

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 252, 917, 896, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 917, 896, 966 is 7.

Therefore, GCD of numbers 252, 917, 896, 966 is 7

Given Input Data is 252, 917, 896, 966

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 917 is 7 x 131

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(252, 917) = 33012

GCD(252, 917) = ( 252 x 917 ) / 33012

GCD(252, 917) = 231084 / 33012

GCD(252, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 896

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

LCM(7, 896) = 896

GCD(7, 896) = ( 7 x 896 ) / 896

GCD(7, 896) = 6272 / 896

GCD(7, 896) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 966

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

LCM(7, 966) = 966

GCD(7, 966) = ( 7 x 966 ) / 966

GCD(7, 966) = 6762 / 966

GCD(7, 966) = 7

GCD of 252, 917, 896, 966 is 7

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1. What is the GCD of 252, 917, 896, 966?

GCD of 252, 917, 896, 966 is 7

2. Where do I get the detailed procedure to find GCD of 252, 917, 896, 966?

You can find a detailed procedure to find GCD of 252, 917, 896, 966 on our page.

3. How to find GCD of 252, 917, 896, 966 on a calculator?

You can find the GCD of 252, 917, 896, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.