GCD of 676, 250, 880 Calculator

Given Input numbers are 676, 250, 880

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 676, 250, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 250, 880 is 2.

Therefore, GCD of numbers 676, 250, 880 is 2

Given Input Data is 676, 250, 880

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 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(676, 250) = 84500

GCD(676, 250) = ( 676 x 250 ) / 84500

GCD(676, 250) = 169000 / 84500

GCD(676, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 676, 250, 880 is 2

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1. What is the GCD of 676, 250, 880?

GCD of 676, 250, 880 is 2

2. Where do I get the detailed procedure to find GCD of 676, 250, 880?

You can find a detailed procedure to find GCD of 676, 250, 880 on our page.

3. How to find GCD of 676, 250, 880 on a calculator?

You can find the GCD of 676, 250, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.