GCD of 951, 558, 560, 516 Calculator

Given Input numbers are 951, 558, 560, 516

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

Divisors of 951

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

1, 3, 317, 951

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 951, 558, 560, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 558, 560, 516 is 1.

Therefore, GCD of numbers 951, 558, 560, 516 is 1

Given Input Data is 951, 558, 560, 516

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

Prime Factorization of 951 is 3 x 317

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(951, 558) = 176886

GCD(951, 558) = ( 951 x 558 ) / 176886

GCD(951, 558) = 530658 / 176886

GCD(951, 558) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 560

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

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

GCD(3, 560) = 1680 / 1680

GCD(3, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 951, 558, 560, 516 is 1

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1. What is the GCD of 951, 558, 560, 516?

GCD of 951, 558, 560, 516 is 1

2. Where do I get the detailed procedure to find GCD of 951, 558, 560, 516?

You can find a detailed procedure to find GCD of 951, 558, 560, 516 on our page.

3. How to find GCD of 951, 558, 560, 516 on a calculator?

You can find the GCD of 951, 558, 560, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.