GCD of 628, 920, 782 Calculator

Given Input numbers are 628, 920, 782

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 628, 920, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 920, 782 is 2.

Therefore, GCD of numbers 628, 920, 782 is 2

Given Input Data is 628, 920, 782

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 782 is 2 x 17 x 23

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(628, 920) = 144440

GCD(628, 920) = ( 628 x 920 ) / 144440

GCD(628, 920) = 577760 / 144440

GCD(628, 920) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 782

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

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

GCD(4, 782) = 3128 / 1564

GCD(4, 782) = 2

GCD of 628, 920, 782 is 2

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• GCD of 593, 175, 970
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1. What is the GCD of 628, 920, 782?

GCD of 628, 920, 782 is 2

2. Where do I get the detailed procedure to find GCD of 628, 920, 782?

You can find a detailed procedure to find GCD of 628, 920, 782 on our page.

3. How to find GCD of 628, 920, 782 on a calculator?

You can find the GCD of 628, 920, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.