GCD of 114, 595, 316, 118 Calculator

Given Input numbers are 114, 595, 316, 118

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 114, 595, 316, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 595, 316, 118 is 1.

Therefore, GCD of numbers 114, 595, 316, 118 is 1

Given Input Data is 114, 595, 316, 118

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 118 is 2 x 59

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(114, 595) = 67830

GCD(114, 595) = ( 114 x 595 ) / 67830

GCD(114, 595) = 67830 / 67830

GCD(114, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 114, 595, 316, 118 is 1

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1. What is the GCD of 114, 595, 316, 118?

GCD of 114, 595, 316, 118 is 1

2. Where do I get the detailed procedure to find GCD of 114, 595, 316, 118?

You can find a detailed procedure to find GCD of 114, 595, 316, 118 on our page.

3. How to find GCD of 114, 595, 316, 118 on a calculator?

You can find the GCD of 114, 595, 316, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.