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GCD of 342, 648, 630 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, 648, 630 quickly. Get the easiest ways to solve the greatest common divisor of 342, 648, 630 i.e 18 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 648, 630 with Factoring?

Given Input numbers are 342, 648, 630

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630


GCD of numbers is the greatest common divisor

So, the GCD (342, 648, 630) = 18.

Find GCD of 342, 648, 630 using Prime Factorization

Given numbers are 342, 648, 630

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 21 x 32

Therefore, GCD of 342, 648, 630 is 18.

Steps to Calculate GCD of 342, 648, 630 using LCM Formula

Given numbers are 342, 648, 630

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

Apply this formula for all numbers.

Step1:

LCM(342, 648) = 12312

GCD(342, 648) = ( 342 x 648 ) / 12312

= 342 / 648

= 342


Step2:

LCM(18, 630) = 630

GCD(18, 630) = ( 18 x 630 ) / 630

= 18 / 630

= 18


So, Greatest Common Divisor of 342, 648, 630 is 18

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 648, 630

Given numbers are 342, 648, 630
The greatest common divisor of numbers 342, 648, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 648, 630 is 18.

FAQs on GCD of 342, 648, 630 Calculator

1. What is the GCD of 342, 648, 630?

GCD of given numbers 342, 648, 630 is 18


2. How to calculate the greatest common divisor of 342, 648, 630?

We can find the highest common divisor of 342, 648, 630 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, 648, 630 i.e 18.


3. How can I use the GCD of 342, 648, 630Calculator?

Out the numbers 342, 648, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.