GCD of 56, 959, 677, 432 Calculator

Given Input numbers are 56, 959, 677, 432

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 677

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

1, 677

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 56, 959, 677, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 959, 677, 432 is 1.

Therefore, GCD of numbers 56, 959, 677, 432 is 1

Given Input Data is 56, 959, 677, 432

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 959 is 7 x 137

Prime Factorization of 677 is 677

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(56, 959) = 7672

GCD(56, 959) = ( 56 x 959 ) / 7672

GCD(56, 959) = 53704 / 7672

GCD(56, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 677

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

LCM(7, 677) = 4739

GCD(7, 677) = ( 7 x 677 ) / 4739

GCD(7, 677) = 4739 / 4739

GCD(7, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 56, 959, 677, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 861, 439, 702
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• GCD of 18, 296, 116, 247
• GCD of 34, 394, 973, 949

1. What is the GCD of 56, 959, 677, 432?

GCD of 56, 959, 677, 432 is 1

2. Where do I get the detailed procedure to find GCD of 56, 959, 677, 432?

You can find a detailed procedure to find GCD of 56, 959, 677, 432 on our page.

3. How to find GCD of 56, 959, 677, 432 on a calculator?

You can find the GCD of 56, 959, 677, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.