GCD of 504, 786, 722, 956 Calculator

Given Input numbers are 504, 786, 722, 956

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 956

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

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 504, 786, 722, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 786, 722, 956 is 2.

Therefore, GCD of numbers 504, 786, 722, 956 is 2

Given Input Data is 504, 786, 722, 956

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 956 is 2 x 2 x 239

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(504, 786) = 66024

GCD(504, 786) = ( 504 x 786 ) / 66024

GCD(504, 786) = 396144 / 66024

GCD(504, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 722

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

LCM(6, 722) = 2166

GCD(6, 722) = ( 6 x 722 ) / 2166

GCD(6, 722) = 4332 / 2166

GCD(6, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 504, 786, 722, 956 is 2

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1. What is the GCD of 504, 786, 722, 956?

GCD of 504, 786, 722, 956 is 2

2. Where do I get the detailed procedure to find GCD of 504, 786, 722, 956?

You can find a detailed procedure to find GCD of 504, 786, 722, 956 on our page.

3. How to find GCD of 504, 786, 722, 956 on a calculator?

You can find the GCD of 504, 786, 722, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.