GCD of 760, 924, 676, 556 Calculator

Given Input numbers are 760, 924, 676, 556

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 760, 924, 676, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 924, 676, 556 is 4.

Therefore, GCD of numbers 760, 924, 676, 556 is 4

Given Input Data is 760, 924, 676, 556

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 556 is 2 x 2 x 139

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(760, 924) = 175560

GCD(760, 924) = ( 760 x 924 ) / 175560

GCD(760, 924) = 702240 / 175560

GCD(760, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 676

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

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

GCD(4, 676) = 2704 / 676

GCD(4, 676) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 556

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

LCM(4, 556) = 556

GCD(4, 556) = ( 4 x 556 ) / 556

GCD(4, 556) = 2224 / 556

GCD(4, 556) = 4

GCD of 760, 924, 676, 556 is 4

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1. What is the GCD of 760, 924, 676, 556?

GCD of 760, 924, 676, 556 is 4

2. Where do I get the detailed procedure to find GCD of 760, 924, 676, 556?

You can find a detailed procedure to find GCD of 760, 924, 676, 556 on our page.

3. How to find GCD of 760, 924, 676, 556 on a calculator?

You can find the GCD of 760, 924, 676, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.