GCD of 135, 576, 856, 974 Calculator

Given Input numbers are 135, 576, 856, 974

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 135, 576, 856, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 576, 856, 974 is 1.

Therefore, GCD of numbers 135, 576, 856, 974 is 1

Given Input Data is 135, 576, 856, 974

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 974 is 2 x 487

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(135, 576) = 8640

GCD(135, 576) = ( 135 x 576 ) / 8640

GCD(135, 576) = 77760 / 8640

GCD(135, 576) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 856

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

LCM(9, 856) = 7704

GCD(9, 856) = ( 9 x 856 ) / 7704

GCD(9, 856) = 7704 / 7704

GCD(9, 856) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 135, 576, 856, 974 is 1

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1. What is the GCD of 135, 576, 856, 974?

GCD of 135, 576, 856, 974 is 1

2. Where do I get the detailed procedure to find GCD of 135, 576, 856, 974?

You can find a detailed procedure to find GCD of 135, 576, 856, 974 on our page.

3. How to find GCD of 135, 576, 856, 974 on a calculator?

You can find the GCD of 135, 576, 856, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.