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GCD of 621, 933, 780, 315 Calculator

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


Online GCD Calculator is useful to find the GCD of 621, 933, 780, 315 quickly. Get the easiest ways to solve the greatest common divisor of 621, 933, 780, 315 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 621, 933, 780, 315 with Factoring?

Given Input numbers are 621, 933, 780, 315

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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


GCD of numbers is the greatest common divisor

So, the GCD (621, 933, 780, 315) = 3.

Find GCD of 621, 933, 780, 315 using Prime Factorization

Given numbers are 621, 933, 780, 315

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 933 are 3 x 311

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

The highest common occurrence is 31

Therefore, GCD of 621, 933, 780, 315 is 3.

Steps to Calculate GCD of 621, 933, 780, 315 using LCM Formula

Given numbers are 621, 933, 780, 315

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

Apply this formula for all numbers.

Step1:

LCM(621, 933) = 193131

GCD(621, 933) = ( 621 x 933 ) / 193131

= 621 / 933

= 621


Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3


Step3:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3


So, Greatest Common Divisor of 621, 933, 780, 315 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 621, 933, 780, 315

Given numbers are 621, 933, 780, 315
The greatest common divisor of numbers 621, 933, 780, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 933, 780, 315 is 3.

FAQs on GCD of 621, 933, 780, 315 Calculator

1. What is the GCD of 621, 933, 780, 315?

GCD of given numbers 621, 933, 780, 315 is 3


2. How to calculate the greatest common divisor of 621, 933, 780, 315?

We can find the highest common divisor of 621, 933, 780, 315 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 621, 933, 780, 315 i.e 3.


3. How can I use the GCD of 621, 933, 780, 315Calculator?

Out the numbers 621, 933, 780, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.