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GCD of 642, 413, 378 Calculator

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


Online GCD Calculator is useful to find the GCD of 642, 413, 378 quickly. Get the easiest ways to solve the greatest common divisor of 642, 413, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 642, 413, 378 with Factoring?

Given Input numbers are 642, 413, 378

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (642, 413, 378) = 1.

Find GCD of 642, 413, 378 using Prime Factorization

Given numbers are 642, 413, 378

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 413 are 7 x 59

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 642, 413, 378 using LCM Formula

Given numbers are 642, 413, 378

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

Apply this formula for all numbers.

Step1:

LCM(642, 413) = 265146

GCD(642, 413) = ( 642 x 413 ) / 265146

= 642 / 413

= 642


Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1


So, Greatest Common Divisor of 642, 413, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 642, 413, 378

Given numbers are 642, 413, 378
The greatest common divisor of numbers 642, 413, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 413, 378 is 1.

FAQs on GCD of 642, 413, 378 Calculator

1. What is the GCD of 642, 413, 378?

GCD of given numbers 642, 413, 378 is 1


2. How to calculate the greatest common divisor of 642, 413, 378?

We can find the highest common divisor of 642, 413, 378 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 642, 413, 378 i.e 1.


3. How can I use the GCD of 642, 413, 378Calculator?

Out the numbers 642, 413, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.