LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 342, 156, 652, 564 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 156, 652, 564 quickly. Get the easiest ways to solve the greatest common divisor of 342, 156, 652, 564 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 156, 652, 564 with Factoring?

Given Input numbers are 342, 156, 652, 564

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564


GCD of numbers is the greatest common divisor

So, the GCD (342, 156, 652, 564) = 2.

Find GCD of 342, 156, 652, 564 using Prime Factorization

Given numbers are 342, 156, 652, 564

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 652 are 2 x 2 x 163

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 21

Therefore, GCD of 342, 156, 652, 564 is 2.

Steps to Calculate GCD of 342, 156, 652, 564 using LCM Formula

Given numbers are 342, 156, 652, 564

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

Apply this formula for all numbers.

Step1:

LCM(342, 156) = 8892

GCD(342, 156) = ( 342 x 156 ) / 8892

= 342 / 156

= 342


Step2:

LCM(6, 652) = 1956

GCD(6, 652) = ( 6 x 652 ) / 1956

= 6 / 652

= 6


Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2


So, Greatest Common Divisor of 342, 156, 652, 564 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 156, 652, 564

Given numbers are 342, 156, 652, 564
The greatest common divisor of numbers 342, 156, 652, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 156, 652, 564 is 2.

FAQs on GCD of 342, 156, 652, 564 Calculator

1. What is the GCD of 342, 156, 652, 564?

GCD of given numbers 342, 156, 652, 564 is 2


2. How to calculate the greatest common divisor of 342, 156, 652, 564?

We can find the highest common divisor of 342, 156, 652, 564 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 342, 156, 652, 564 i.e 2.


3. How can I use the GCD of 342, 156, 652, 564Calculator?

Out the numbers 342, 156, 652, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.