GCD of 456, 908, 677 Calculator

Given Input numbers are 456, 908, 677

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 456, 908, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 908, 677 is 1.

Therefore, GCD of numbers 456, 908, 677 is 1

Given Input Data is 456, 908, 677

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 677 is 677

The above numbers do not have any common prime factor. So GCD is 1

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(456, 908) = 103512

GCD(456, 908) = ( 456 x 908 ) / 103512

GCD(456, 908) = 414048 / 103512

GCD(456, 908) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 677

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

LCM(4, 677) = 2708

GCD(4, 677) = ( 4 x 677 ) / 2708

GCD(4, 677) = 2708 / 2708

GCD(4, 677) = 1

GCD of 456, 908, 677 is 1

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• GCD of 289, 470, 939
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1. What is the GCD of 456, 908, 677?

GCD of 456, 908, 677 is 1

2. Where do I get the detailed procedure to find GCD of 456, 908, 677?

You can find a detailed procedure to find GCD of 456, 908, 677 on our page.

3. How to find GCD of 456, 908, 677 on a calculator?

You can find the GCD of 456, 908, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.