GCD of 138, 393, 718, 152 Calculator

Given Input numbers are 138, 393, 718, 152

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 138, 393, 718, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 393, 718, 152 is 1.

Therefore, GCD of numbers 138, 393, 718, 152 is 1

Given Input Data is 138, 393, 718, 152

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 393 is 3 x 131

Prime Factorization of 718 is 2 x 359

Prime Factorization of 152 is 2 x 2 x 2 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(138, 393) = 18078

GCD(138, 393) = ( 138 x 393 ) / 18078

GCD(138, 393) = 54234 / 18078

GCD(138, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 718

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

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

GCD(3, 718) = 2154 / 2154

GCD(3, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 138, 393, 718, 152 is 1

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• GCD of 959, 100, 161, 315
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1. What is the GCD of 138, 393, 718, 152?

GCD of 138, 393, 718, 152 is 1

2. Where do I get the detailed procedure to find GCD of 138, 393, 718, 152?

You can find a detailed procedure to find GCD of 138, 393, 718, 152 on our page.

3. How to find GCD of 138, 393, 718, 152 on a calculator?

You can find the GCD of 138, 393, 718, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.