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GCD of 627, 315, 915, 789 Calculator

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


Online GCD Calculator is useful to find the GCD of 627, 315, 915, 789 quickly. Get the easiest ways to solve the greatest common divisor of 627, 315, 915, 789 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 627, 315, 915, 789 with Factoring?

Given Input numbers are 627, 315, 915, 789

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (627, 315, 915, 789) = 3.

Find GCD of 627, 315, 915, 789 using Prime Factorization

Given numbers are 627, 315, 915, 789

The list of prime factors of all numbers are

Prime factors of 627 are 3 x 11 x 19

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 915 are 3 x 5 x 61

Prime factors of 789 are 3 x 263

The highest common occurrence is 31

Therefore, GCD of 627, 315, 915, 789 is 3.

Steps to Calculate GCD of 627, 315, 915, 789 using LCM Formula

Given numbers are 627, 315, 915, 789

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

Apply this formula for all numbers.

Step1:

LCM(627, 315) = 65835

GCD(627, 315) = ( 627 x 315 ) / 65835

= 627 / 315

= 627


Step2:

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

= 3 / 915

= 3


Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3


So, Greatest Common Divisor of 627, 315, 915, 789 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 627, 315, 915, 789

Given numbers are 627, 315, 915, 789
The greatest common divisor of numbers 627, 315, 915, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 627, 315, 915, 789 is 3.

FAQs on GCD of 627, 315, 915, 789 Calculator

1. What is the GCD of 627, 315, 915, 789?

GCD of given numbers 627, 315, 915, 789 is 3


2. How to calculate the greatest common divisor of 627, 315, 915, 789?

We can find the highest common divisor of 627, 315, 915, 789 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 627, 315, 915, 789 i.e 3.


3. How can I use the GCD of 627, 315, 915, 789Calculator?

Out the numbers 627, 315, 915, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.