GCD of 994, 456, 970 Calculator

Given Input numbers are 994, 456, 970

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 994, 456, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 456, 970 is 2.

Therefore, GCD of numbers 994, 456, 970 is 2

Given Input Data is 994, 456, 970

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 970 is 2 x 5 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(994, 456) = 226632

GCD(994, 456) = ( 994 x 456 ) / 226632

GCD(994, 456) = 453264 / 226632

GCD(994, 456) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 994, 456, 970 is 2

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1. What is the GCD of 994, 456, 970?

GCD of 994, 456, 970 is 2

2. Where do I get the detailed procedure to find GCD of 994, 456, 970?

You can find a detailed procedure to find GCD of 994, 456, 970 on our page.

3. How to find GCD of 994, 456, 970 on a calculator?

You can find the GCD of 994, 456, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.