GCD of 285, 688, 136, 456 Calculator

Given Input numbers are 285, 688, 136, 456

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

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

Greatest Common Divisior

We found the divisors of 285, 688, 136, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 688, 136, 456 is 1.

Therefore, GCD of numbers 285, 688, 136, 456 is 1

Given Input Data is 285, 688, 136, 456

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 136 is 2 x 2 x 2 x 17

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

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(285, 688) = 196080

GCD(285, 688) = ( 285 x 688 ) / 196080

GCD(285, 688) = 196080 / 196080

GCD(285, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 285, 688, 136, 456 is 1

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1. What is the GCD of 285, 688, 136, 456?

GCD of 285, 688, 136, 456 is 1

2. Where do I get the detailed procedure to find GCD of 285, 688, 136, 456?

You can find a detailed procedure to find GCD of 285, 688, 136, 456 on our page.

3. How to find GCD of 285, 688, 136, 456 on a calculator?

You can find the GCD of 285, 688, 136, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.