GCD of 970, 440, 422, 967 Calculator

Given Input numbers are 970, 440, 422, 967

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 970, 440, 422, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 440, 422, 967 is 1.

Therefore, GCD of numbers 970, 440, 422, 967 is 1

Given Input Data is 970, 440, 422, 967

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 422 is 2 x 211

Prime Factorization of 967 is 967

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(970, 440) = 42680

GCD(970, 440) = ( 970 x 440 ) / 42680

GCD(970, 440) = 426800 / 42680

GCD(970, 440) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 422

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

LCM(10, 422) = 2110

GCD(10, 422) = ( 10 x 422 ) / 2110

GCD(10, 422) = 4220 / 2110

GCD(10, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 967

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

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

GCD(2, 967) = 1934 / 1934

GCD(2, 967) = 1

GCD of 970, 440, 422, 967 is 1

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1. What is the GCD of 970, 440, 422, 967?

GCD of 970, 440, 422, 967 is 1

2. Where do I get the detailed procedure to find GCD of 970, 440, 422, 967?

You can find a detailed procedure to find GCD of 970, 440, 422, 967 on our page.

3. How to find GCD of 970, 440, 422, 967 on a calculator?

You can find the GCD of 970, 440, 422, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.