GCD of 964, 688, 680 Calculator

Given Input numbers are 964, 688, 680

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 964, 688, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 688, 680 is 4.

Therefore, GCD of numbers 964, 688, 680 is 4

Given Input Data is 964, 688, 680

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(964, 688) = 165808

GCD(964, 688) = ( 964 x 688 ) / 165808

GCD(964, 688) = 663232 / 165808

GCD(964, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 680

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

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

GCD(4, 680) = 2720 / 680

GCD(4, 680) = 4

GCD of 964, 688, 680 is 4

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1. What is the GCD of 964, 688, 680?

GCD of 964, 688, 680 is 4

2. Where do I get the detailed procedure to find GCD of 964, 688, 680?

You can find a detailed procedure to find GCD of 964, 688, 680 on our page.

3. How to find GCD of 964, 688, 680 on a calculator?

You can find the GCD of 964, 688, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.