GCD of 754, 594, 664, 136 Calculator

Given Input numbers are 754, 594, 664, 136

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 136

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

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

Greatest Common Divisior

We found the divisors of 754, 594, 664, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 594, 664, 136 is 2.

Therefore, GCD of numbers 754, 594, 664, 136 is 2

Given Input Data is 754, 594, 664, 136

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

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(754, 594) = 223938

GCD(754, 594) = ( 754 x 594 ) / 223938

GCD(754, 594) = 447876 / 223938

GCD(754, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

GCD of 754, 594, 664, 136 is 2

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1. What is the GCD of 754, 594, 664, 136?

GCD of 754, 594, 664, 136 is 2

2. Where do I get the detailed procedure to find GCD of 754, 594, 664, 136?

You can find a detailed procedure to find GCD of 754, 594, 664, 136 on our page.

3. How to find GCD of 754, 594, 664, 136 on a calculator?

You can find the GCD of 754, 594, 664, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.