GCD of 140, 596, 684 Calculator

Given Input numbers are 140, 596, 684

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 140, 596, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 596, 684 is 4.

Therefore, GCD of numbers 140, 596, 684 is 4

Given Input Data is 140, 596, 684

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(140, 596) = 20860

GCD(140, 596) = ( 140 x 596 ) / 20860

GCD(140, 596) = 83440 / 20860

GCD(140, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 684

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

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

GCD(4, 684) = 2736 / 684

GCD(4, 684) = 4

GCD of 140, 596, 684 is 4

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1. What is the GCD of 140, 596, 684?

GCD of 140, 596, 684 is 4

2. Where do I get the detailed procedure to find GCD of 140, 596, 684?

You can find a detailed procedure to find GCD of 140, 596, 684 on our page.

3. How to find GCD of 140, 596, 684 on a calculator?

You can find the GCD of 140, 596, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.