GCD of 684, 976, 962, 377 Calculator

Given Input numbers are 684, 976, 962, 377

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 684, 976, 962, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 976, 962, 377 is 1.

Therefore, GCD of numbers 684, 976, 962, 377 is 1

Given Input Data is 684, 976, 962, 377

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 377 is 13 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(684, 976) = 166896

GCD(684, 976) = ( 684 x 976 ) / 166896

GCD(684, 976) = 667584 / 166896

GCD(684, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 962

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

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

GCD(4, 962) = 3848 / 1924

GCD(4, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 684, 976, 962, 377 is 1

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1. What is the GCD of 684, 976, 962, 377?

GCD of 684, 976, 962, 377 is 1

2. Where do I get the detailed procedure to find GCD of 684, 976, 962, 377?

You can find a detailed procedure to find GCD of 684, 976, 962, 377 on our page.

3. How to find GCD of 684, 976, 962, 377 on a calculator?

You can find the GCD of 684, 976, 962, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.