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GCD of 390, 186, 351, 735 Calculator

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


Online GCD Calculator is useful to find the GCD of 390, 186, 351, 735 quickly. Get the easiest ways to solve the greatest common divisor of 390, 186, 351, 735 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 186, 351, 735 with Factoring?

Given Input numbers are 390, 186, 351, 735

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735


GCD of numbers is the greatest common divisor

So, the GCD (390, 186, 351, 735) = 3.

Find GCD of 390, 186, 351, 735 using Prime Factorization

Given numbers are 390, 186, 351, 735

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 186 are 2 x 3 x 31

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 31

Therefore, GCD of 390, 186, 351, 735 is 3.

Steps to Calculate GCD of 390, 186, 351, 735 using LCM Formula

Given numbers are 390, 186, 351, 735

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

Apply this formula for all numbers.

Step1:

LCM(390, 186) = 12090

GCD(390, 186) = ( 390 x 186 ) / 12090

= 390 / 186

= 390


Step2:

LCM(6, 351) = 702

GCD(6, 351) = ( 6 x 351 ) / 702

= 6 / 351

= 6


Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3


So, Greatest Common Divisor of 390, 186, 351, 735 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 186, 351, 735

Given numbers are 390, 186, 351, 735
The greatest common divisor of numbers 390, 186, 351, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 186, 351, 735 is 3.

FAQs on GCD of 390, 186, 351, 735 Calculator

1. What is the GCD of 390, 186, 351, 735?

GCD of given numbers 390, 186, 351, 735 is 3


2. How to calculate the greatest common divisor of 390, 186, 351, 735?

We can find the highest common divisor of 390, 186, 351, 735 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 390, 186, 351, 735 i.e 3.


3. How can I use the GCD of 390, 186, 351, 735Calculator?

Out the numbers 390, 186, 351, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.