GCD of 976, 426, 660, 364 Calculator

Given Input numbers are 976, 426, 660, 364

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

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 976, 426, 660, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 426, 660, 364 is 2.

Therefore, GCD of numbers 976, 426, 660, 364 is 2

Given Input Data is 976, 426, 660, 364

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

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(976, 426) = 207888

GCD(976, 426) = ( 976 x 426 ) / 207888

GCD(976, 426) = 415776 / 207888

GCD(976, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 976, 426, 660, 364 is 2

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1. What is the GCD of 976, 426, 660, 364?

GCD of 976, 426, 660, 364 is 2

2. Where do I get the detailed procedure to find GCD of 976, 426, 660, 364?

You can find a detailed procedure to find GCD of 976, 426, 660, 364 on our page.

3. How to find GCD of 976, 426, 660, 364 on a calculator?

You can find the GCD of 976, 426, 660, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.