GCD of 676, 974, 56, 472 Calculator

Given Input numbers are 676, 974, 56, 472

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

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 676, 974, 56, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 974, 56, 472 is 2.

Therefore, GCD of numbers 676, 974, 56, 472 is 2

Given Input Data is 676, 974, 56, 472

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

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(676, 974) = 329212

GCD(676, 974) = ( 676 x 974 ) / 329212

GCD(676, 974) = 658424 / 329212

GCD(676, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

GCD of 676, 974, 56, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 388, 18, 934
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• GCD of 651, 626, 59, 596
• GCD of 121, 197, 54, 546
• GCD of 763, 801, 45, 620

1. What is the GCD of 676, 974, 56, 472?

GCD of 676, 974, 56, 472 is 2

2. Where do I get the detailed procedure to find GCD of 676, 974, 56, 472?

You can find a detailed procedure to find GCD of 676, 974, 56, 472 on our page.

3. How to find GCD of 676, 974, 56, 472 on a calculator?

You can find the GCD of 676, 974, 56, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.