GCD of 159, 764, 114 Calculator

Given Input numbers are 159, 764, 114

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 159, 764, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 764, 114 is 1.

Therefore, GCD of numbers 159, 764, 114 is 1

Given Input Data is 159, 764, 114

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 114 is 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(159, 764) = 121476

GCD(159, 764) = ( 159 x 764 ) / 121476

GCD(159, 764) = 121476 / 121476

GCD(159, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 159, 764, 114 is 1

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1. What is the GCD of 159, 764, 114?

GCD of 159, 764, 114 is 1

2. Where do I get the detailed procedure to find GCD of 159, 764, 114?

You can find a detailed procedure to find GCD of 159, 764, 114 on our page.

3. How to find GCD of 159, 764, 114 on a calculator?

You can find the GCD of 159, 764, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.