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GCD of 159, 736, 219, 312 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 159, 736, 219, 312 quickly. Get the easiest ways to solve the greatest common divisor of 159, 736, 219, 312 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 159, 736, 219, 312 with Factoring?

Given Input numbers are 159, 736, 219, 312

In the factoring method, we have to find the divisors of all numbers

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312


GCD of numbers is the greatest common divisor

So, the GCD (159, 736, 219, 312) = 1.

Find GCD of 159, 736, 219, 312 using Prime Factorization

Given numbers are 159, 736, 219, 312

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 219 are 3 x 73

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 159, 736, 219, 312 using LCM Formula

Given numbers are 159, 736, 219, 312

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(159, 736) = 117024

GCD(159, 736) = ( 159 x 736 ) / 117024

= 159 / 736

= 159


Step2:

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

= 1 / 219

= 1


Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1


So, Greatest Common Divisor of 159, 736, 219, 312 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 159, 736, 219, 312

Given numbers are 159, 736, 219, 312
The greatest common divisor of numbers 159, 736, 219, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 736, 219, 312 is 1.

FAQs on GCD of 159, 736, 219, 312 Calculator

1. What is the GCD of 159, 736, 219, 312?

GCD of given numbers 159, 736, 219, 312 is 1


2. How to calculate the greatest common divisor of 159, 736, 219, 312?

We can find the highest common divisor of 159, 736, 219, 312 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 159, 736, 219, 312 i.e 1.


3. How can I use the GCD of 159, 736, 219, 312Calculator?

Out the numbers 159, 736, 219, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.