GCD of 970, 852, 296, 794 Calculator

Given Input numbers are 970, 852, 296, 794

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 296

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

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 970, 852, 296, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 852, 296, 794 is 2.

Therefore, GCD of numbers 970, 852, 296, 794 is 2

Given Input Data is 970, 852, 296, 794

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 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 794 is 2 x 397

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(970, 852) = 413220

GCD(970, 852) = ( 970 x 852 ) / 413220

GCD(970, 852) = 826440 / 413220

GCD(970, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 794

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

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

GCD(2, 794) = 1588 / 794

GCD(2, 794) = 2

GCD of 970, 852, 296, 794 is 2

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1. What is the GCD of 970, 852, 296, 794?

GCD of 970, 852, 296, 794 is 2

2. Where do I get the detailed procedure to find GCD of 970, 852, 296, 794?

You can find a detailed procedure to find GCD of 970, 852, 296, 794 on our page.

3. How to find GCD of 970, 852, 296, 794 on a calculator?

You can find the GCD of 970, 852, 296, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.