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GCD of 342, 210, 402, 572 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, 210, 402, 572 quickly. Get the easiest ways to solve the greatest common divisor of 342, 210, 402, 572 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 210, 402, 572 with Factoring?

Given Input numbers are 342, 210, 402, 572

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572


GCD of numbers is the greatest common divisor

So, the GCD (342, 210, 402, 572) = 2.

Find GCD of 342, 210, 402, 572 using Prime Factorization

Given numbers are 342, 210, 402, 572

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 402 are 2 x 3 x 67

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 21

Therefore, GCD of 342, 210, 402, 572 is 2.

Steps to Calculate GCD of 342, 210, 402, 572 using LCM Formula

Given numbers are 342, 210, 402, 572

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

Apply this formula for all numbers.

Step1:

LCM(342, 210) = 11970

GCD(342, 210) = ( 342 x 210 ) / 11970

= 342 / 210

= 342


Step2:

LCM(6, 402) = 402

GCD(6, 402) = ( 6 x 402 ) / 402

= 6 / 402

= 6


Step3:

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

= 6 / 572

= 6


So, Greatest Common Divisor of 342, 210, 402, 572 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 210, 402, 572

Given numbers are 342, 210, 402, 572
The greatest common divisor of numbers 342, 210, 402, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 210, 402, 572 is 2.

FAQs on GCD of 342, 210, 402, 572 Calculator

1. What is the GCD of 342, 210, 402, 572?

GCD of given numbers 342, 210, 402, 572 is 2


2. How to calculate the greatest common divisor of 342, 210, 402, 572?

We can find the highest common divisor of 342, 210, 402, 572 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, 210, 402, 572 i.e 2.


3. How can I use the GCD of 342, 210, 402, 572Calculator?

Out the numbers 342, 210, 402, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.