GCD of 252, 560, 295, 876 Calculator

Given Input numbers are 252, 560, 295, 876

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 252, 560, 295, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 560, 295, 876 is 1.

Therefore, GCD of numbers 252, 560, 295, 876 is 1

Given Input Data is 252, 560, 295, 876

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 295 is 5 x 59

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(252, 560) = 5040

GCD(252, 560) = ( 252 x 560 ) / 5040

GCD(252, 560) = 141120 / 5040

GCD(252, 560) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 295

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

LCM(28, 295) = 8260

GCD(28, 295) = ( 28 x 295 ) / 8260

GCD(28, 295) = 8260 / 8260

GCD(28, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 252, 560, 295, 876 is 1

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1. What is the GCD of 252, 560, 295, 876?

GCD of 252, 560, 295, 876 is 1

2. Where do I get the detailed procedure to find GCD of 252, 560, 295, 876?

You can find a detailed procedure to find GCD of 252, 560, 295, 876 on our page.

3. How to find GCD of 252, 560, 295, 876 on a calculator?

You can find the GCD of 252, 560, 295, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.