GCD of 970, 472, 658, 678 Calculator

Given Input numbers are 970, 472, 658, 678

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 970, 472, 658, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 472, 658, 678 is 2.

Therefore, GCD of numbers 970, 472, 658, 678 is 2

Given Input Data is 970, 472, 658, 678

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 472 is 2 x 2 x 2 x 59

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 678 is 2 x 3 x 113

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, 472) = 228920

GCD(970, 472) = ( 970 x 472 ) / 228920

GCD(970, 472) = 457840 / 228920

GCD(970, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 658

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

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

GCD(2, 658) = 1316 / 658

GCD(2, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 970, 472, 658, 678 is 2

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1. What is the GCD of 970, 472, 658, 678?

GCD of 970, 472, 658, 678 is 2

2. Where do I get the detailed procedure to find GCD of 970, 472, 658, 678?

You can find a detailed procedure to find GCD of 970, 472, 658, 678 on our page.

3. How to find GCD of 970, 472, 658, 678 on a calculator?

You can find the GCD of 970, 472, 658, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.