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GCD of 684, 102, 378, 611 Calculator

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


Online GCD Calculator is useful to find the GCD of 684, 102, 378, 611 quickly. Get the easiest ways to solve the greatest common divisor of 684, 102, 378, 611 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 684, 102, 378, 611 with Factoring?

Given Input numbers are 684, 102, 378, 611

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 611 :

The positive integer divisors of 611 that completely divides 611 are.

1, 13, 47, 611


GCD of numbers is the greatest common divisor

So, the GCD (684, 102, 378, 611) = 1.

Find GCD of 684, 102, 378, 611 using Prime Factorization

Given numbers are 684, 102, 378, 611

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 102 are 2 x 3 x 17

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

Prime factors of 611 are 13 x 47

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

Steps to Calculate GCD of 684, 102, 378, 611 using LCM Formula

Given numbers are 684, 102, 378, 611

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

Apply this formula for all numbers.

Step1:

LCM(684, 102) = 11628

GCD(684, 102) = ( 684 x 102 ) / 11628

= 684 / 102

= 684


Step2:

LCM(6, 378) = 378

GCD(6, 378) = ( 6 x 378 ) / 378

= 6 / 378

= 6


Step3:

LCM(6, 611) = 3666

GCD(6, 611) = ( 6 x 611 ) / 3666

= 6 / 611

= 6


So, Greatest Common Divisor of 684, 102, 378, 611 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 684, 102, 378, 611

Given numbers are 684, 102, 378, 611
The greatest common divisor of numbers 684, 102, 378, 611 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 102, 378, 611 is 1.

FAQs on GCD of 684, 102, 378, 611 Calculator

1. What is the GCD of 684, 102, 378, 611?

GCD of given numbers 684, 102, 378, 611 is 1


2. How to calculate the greatest common divisor of 684, 102, 378, 611?

We can find the highest common divisor of 684, 102, 378, 611 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 684, 102, 378, 611 i.e 1.


3. How can I use the GCD of 684, 102, 378, 611Calculator?

Out the numbers 684, 102, 378, 611 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.