GCD of 976, 988, 162, 371 Calculator

Given Input numbers are 976, 988, 162, 371

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 976, 988, 162, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 988, 162, 371 is 1.

Therefore, GCD of numbers 976, 988, 162, 371 is 1

Given Input Data is 976, 988, 162, 371

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 988 is 2 x 2 x 13 x 19

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 371 is 7 x 53

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(976, 988) = 241072

GCD(976, 988) = ( 976 x 988 ) / 241072

GCD(976, 988) = 964288 / 241072

GCD(976, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 371

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

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

GCD(2, 371) = 742 / 742

GCD(2, 371) = 1

GCD of 976, 988, 162, 371 is 1

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1. What is the GCD of 976, 988, 162, 371?

GCD of 976, 988, 162, 371 is 1

2. Where do I get the detailed procedure to find GCD of 976, 988, 162, 371?

You can find a detailed procedure to find GCD of 976, 988, 162, 371 on our page.

3. How to find GCD of 976, 988, 162, 371 on a calculator?

You can find the GCD of 976, 988, 162, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.