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GCD of 879, 343, 421, 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 879, 343, 421, 378 quickly. Get the easiest ways to solve the greatest common divisor of 879, 343, 421, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 879, 343, 421, 378 with Factoring?

Given Input numbers are 879, 343, 421, 378

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

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 (879, 343, 421, 378) = 1.

Find GCD of 879, 343, 421, 378 using Prime Factorization

Given numbers are 879, 343, 421, 378

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 343 are 7 x 7 x 7

Prime factors of 421 are 421

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 879, 343, 421, 378 using LCM Formula

Given numbers are 879, 343, 421, 378

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

Apply this formula for all numbers.

Step1:

LCM(879, 343) = 301497

GCD(879, 343) = ( 879 x 343 ) / 301497

= 879 / 343

= 879


Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1


Step3:

LCM(1, 378) = 378

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

= 1 / 378

= 1


So, Greatest Common Divisor of 879, 343, 421, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 879, 343, 421, 378

Given numbers are 879, 343, 421, 378
The greatest common divisor of numbers 879, 343, 421, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 343, 421, 378 is 1.

FAQs on GCD of 879, 343, 421, 378 Calculator

1. What is the GCD of 879, 343, 421, 378?

GCD of given numbers 879, 343, 421, 378 is 1


2. How to calculate the greatest common divisor of 879, 343, 421, 378?

We can find the highest common divisor of 879, 343, 421, 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 879, 343, 421, 378 i.e 1.


3. How can I use the GCD of 879, 343, 421, 378Calculator?

Out the numbers 879, 343, 421, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.