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GCD of 378, 138, 794, 567 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 138, 794, 567 quickly. Get the easiest ways to solve the greatest common divisor of 378, 138, 794, 567 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 138, 794, 567 with Factoring?

Given Input numbers are 378, 138, 794, 567

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567


GCD of numbers is the greatest common divisor

So, the GCD (378, 138, 794, 567) = 1.

Find GCD of 378, 138, 794, 567 using Prime Factorization

Given numbers are 378, 138, 794, 567

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 794 are 2 x 397

Prime factors of 567 are 3 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 378, 138, 794, 567 using LCM Formula

Given numbers are 378, 138, 794, 567

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

Apply this formula for all numbers.

Step1:

LCM(378, 138) = 8694

GCD(378, 138) = ( 378 x 138 ) / 8694

= 378 / 138

= 378


Step2:

LCM(6, 794) = 2382

GCD(6, 794) = ( 6 x 794 ) / 2382

= 6 / 794

= 6


Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2


So, Greatest Common Divisor of 378, 138, 794, 567 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 138, 794, 567

Given numbers are 378, 138, 794, 567
The greatest common divisor of numbers 378, 138, 794, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 138, 794, 567 is 1.

FAQs on GCD of 378, 138, 794, 567 Calculator

1. What is the GCD of 378, 138, 794, 567?

GCD of given numbers 378, 138, 794, 567 is 1


2. How to calculate the greatest common divisor of 378, 138, 794, 567?

We can find the highest common divisor of 378, 138, 794, 567 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 378, 138, 794, 567 i.e 1.


3. How can I use the GCD of 378, 138, 794, 567Calculator?

Out the numbers 378, 138, 794, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.