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GCD of 561, 584, 159, 156 Calculator

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


Online GCD Calculator is useful to find the GCD of 561, 584, 159, 156 quickly. Get the easiest ways to solve the greatest common divisor of 561, 584, 159, 156 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 584, 159, 156 with Factoring?

Given Input numbers are 561, 584, 159, 156

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156


GCD of numbers is the greatest common divisor

So, the GCD (561, 584, 159, 156) = 1.

Find GCD of 561, 584, 159, 156 using Prime Factorization

Given numbers are 561, 584, 159, 156

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 159 are 3 x 53

Prime factors of 156 are 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 561, 584, 159, 156 using LCM Formula

Given numbers are 561, 584, 159, 156

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

Apply this formula for all numbers.

Step1:

LCM(561, 584) = 327624

GCD(561, 584) = ( 561 x 584 ) / 327624

= 561 / 584

= 561


Step2:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1


Step3:

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

= 1 / 156

= 1


So, Greatest Common Divisor of 561, 584, 159, 156 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 561, 584, 159, 156

Given numbers are 561, 584, 159, 156
The greatest common divisor of numbers 561, 584, 159, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 584, 159, 156 is 1.

FAQs on GCD of 561, 584, 159, 156 Calculator

1. What is the GCD of 561, 584, 159, 156?

GCD of given numbers 561, 584, 159, 156 is 1


2. How to calculate the greatest common divisor of 561, 584, 159, 156?

We can find the highest common divisor of 561, 584, 159, 156 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 561, 584, 159, 156 i.e 1.


3. How can I use the GCD of 561, 584, 159, 156Calculator?

Out the numbers 561, 584, 159, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.