GCD of 971, 959, 37, 296 Calculator

Given Input numbers are 971, 959, 37, 296

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 971, 959, 37, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 959, 37, 296 is 1.

Therefore, GCD of numbers 971, 959, 37, 296 is 1

Given Input Data is 971, 959, 37, 296

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

Prime Factorization of 971 is 971

Prime Factorization of 959 is 7 x 137

Prime Factorization of 37 is 37

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(971, 959) = 931189

GCD(971, 959) = ( 971 x 959 ) / 931189

GCD(971, 959) = 931189 / 931189

GCD(971, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 971, 959, 37, 296 is 1

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1. What is the GCD of 971, 959, 37, 296?

GCD of 971, 959, 37, 296 is 1

2. Where do I get the detailed procedure to find GCD of 971, 959, 37, 296?

You can find a detailed procedure to find GCD of 971, 959, 37, 296 on our page.

3. How to find GCD of 971, 959, 37, 296 on a calculator?

You can find the GCD of 971, 959, 37, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.