GCD of 556, 976, 76, 746 Calculator

Given Input numbers are 556, 976, 76, 746

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

Divisors of 556

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

1, 2, 4, 139, 278, 556

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 556, 976, 76, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 976, 76, 746 is 2.

Therefore, GCD of numbers 556, 976, 76, 746 is 2

Given Input Data is 556, 976, 76, 746

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 746 is 2 x 373

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(556, 976) = 135664

GCD(556, 976) = ( 556 x 976 ) / 135664

GCD(556, 976) = 542656 / 135664

GCD(556, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 746

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

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

GCD(4, 746) = 2984 / 1492

GCD(4, 746) = 2

GCD of 556, 976, 76, 746 is 2

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• GCD of 990, 801, 59, 990
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• GCD of 517, 299, 79, 952

1. What is the GCD of 556, 976, 76, 746?

GCD of 556, 976, 76, 746 is 2

2. Where do I get the detailed procedure to find GCD of 556, 976, 76, 746?

You can find a detailed procedure to find GCD of 556, 976, 76, 746 on our page.

3. How to find GCD of 556, 976, 76, 746 on a calculator?

You can find the GCD of 556, 976, 76, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.