GCD of 970, 708, 100, 616 Calculator

Given Input numbers are 970, 708, 100, 616

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 970, 708, 100, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 708, 100, 616 is 2.

Therefore, GCD of numbers 970, 708, 100, 616 is 2

Given Input Data is 970, 708, 100, 616

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 708 is 2 x 2 x 3 x 59

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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, 708) = 343380

GCD(970, 708) = ( 970 x 708 ) / 343380

GCD(970, 708) = 686760 / 343380

GCD(970, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 970, 708, 100, 616 is 2

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1. What is the GCD of 970, 708, 100, 616?

GCD of 970, 708, 100, 616 is 2

2. Where do I get the detailed procedure to find GCD of 970, 708, 100, 616?

You can find a detailed procedure to find GCD of 970, 708, 100, 616 on our page.

3. How to find GCD of 970, 708, 100, 616 on a calculator?

You can find the GCD of 970, 708, 100, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.