GCD of 910, 680, 628 Calculator

Given Input numbers are 910, 680, 628

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 910, 680, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 680, 628 is 2.

Therefore, GCD of numbers 910, 680, 628 is 2

Given Input Data is 910, 680, 628

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

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

Prime Factorization of 628 is 2 x 2 x 157

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(910, 680) = 61880

GCD(910, 680) = ( 910 x 680 ) / 61880

GCD(910, 680) = 618800 / 61880

GCD(910, 680) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 628

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

LCM(10, 628) = 3140

GCD(10, 628) = ( 10 x 628 ) / 3140

GCD(10, 628) = 6280 / 3140

GCD(10, 628) = 2

GCD of 910, 680, 628 is 2

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1. What is the GCD of 910, 680, 628?

GCD of 910, 680, 628 is 2

2. Where do I get the detailed procedure to find GCD of 910, 680, 628?

You can find a detailed procedure to find GCD of 910, 680, 628 on our page.

3. How to find GCD of 910, 680, 628 on a calculator?

You can find the GCD of 910, 680, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.