GCD of 680, 964, 870 Calculator

Given Input numbers are 680, 964, 870

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

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 680, 964, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 964, 870 is 2.

Therefore, GCD of numbers 680, 964, 870 is 2

Given Input Data is 680, 964, 870

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

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(680, 964) = 163880

GCD(680, 964) = ( 680 x 964 ) / 163880

GCD(680, 964) = 655520 / 163880

GCD(680, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 870

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

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

GCD(4, 870) = 3480 / 1740

GCD(4, 870) = 2

GCD of 680, 964, 870 is 2

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1. What is the GCD of 680, 964, 870?

GCD of 680, 964, 870 is 2

2. Where do I get the detailed procedure to find GCD of 680, 964, 870?

You can find a detailed procedure to find GCD of 680, 964, 870 on our page.

3. How to find GCD of 680, 964, 870 on a calculator?

You can find the GCD of 680, 964, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.