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GCD of 378, 424, 104, 694 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, 424, 104, 694 quickly. Get the easiest ways to solve the greatest common divisor of 378, 424, 104, 694 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 424, 104, 694 with Factoring?

Given Input numbers are 378, 424, 104, 694

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694


GCD of numbers is the greatest common divisor

So, the GCD (378, 424, 104, 694) = 2.

Find GCD of 378, 424, 104, 694 using Prime Factorization

Given numbers are 378, 424, 104, 694

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 424 are 2 x 2 x 2 x 53

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 694 are 2 x 347

The highest common occurrence is 21

Therefore, GCD of 378, 424, 104, 694 is 2.

Steps to Calculate GCD of 378, 424, 104, 694 using LCM Formula

Given numbers are 378, 424, 104, 694

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

Apply this formula for all numbers.

Step1:

LCM(378, 424) = 80136

GCD(378, 424) = ( 378 x 424 ) / 80136

= 378 / 424

= 378


Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2


Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2


So, Greatest Common Divisor of 378, 424, 104, 694 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 424, 104, 694

Given numbers are 378, 424, 104, 694
The greatest common divisor of numbers 378, 424, 104, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 424, 104, 694 is 2.

FAQs on GCD of 378, 424, 104, 694 Calculator

1. What is the GCD of 378, 424, 104, 694?

GCD of given numbers 378, 424, 104, 694 is 2


2. How to calculate the greatest common divisor of 378, 424, 104, 694?

We can find the highest common divisor of 378, 424, 104, 694 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, 424, 104, 694 i.e 2.


3. How can I use the GCD of 378, 424, 104, 694Calculator?

Out the numbers 378, 424, 104, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.