GCD of 971, 962, 667, 508 Calculator

Given Input numbers are 971, 962, 667, 508

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 962

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

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 971, 962, 667, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 962, 667, 508 is 1.

Therefore, GCD of numbers 971, 962, 667, 508 is 1

Given Input Data is 971, 962, 667, 508

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

Prime Factorization of 971 is 971

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 667 is 23 x 29

Prime Factorization of 508 is 2 x 2 x 127

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, 962) = 934102

GCD(971, 962) = ( 971 x 962 ) / 934102

GCD(971, 962) = 934102 / 934102

GCD(971, 962) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 971, 962, 667, 508 is 1

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1. What is the GCD of 971, 962, 667, 508?

GCD of 971, 962, 667, 508 is 1

2. Where do I get the detailed procedure to find GCD of 971, 962, 667, 508?

You can find a detailed procedure to find GCD of 971, 962, 667, 508 on our page.

3. How to find GCD of 971, 962, 667, 508 on a calculator?

You can find the GCD of 971, 962, 667, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.