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GCD of 621, 300, 396, 753 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, 300, 396, 753 quickly. Get the easiest ways to solve the greatest common divisor of 621, 300, 396, 753 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 621, 300, 396, 753 with Factoring?

Given Input numbers are 621, 300, 396, 753

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753


GCD of numbers is the greatest common divisor

So, the GCD (621, 300, 396, 753) = 3.

Find GCD of 621, 300, 396, 753 using Prime Factorization

Given numbers are 621, 300, 396, 753

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 753 are 3 x 251

The highest common occurrence is 31

Therefore, GCD of 621, 300, 396, 753 is 3.

Steps to Calculate GCD of 621, 300, 396, 753 using LCM Formula

Given numbers are 621, 300, 396, 753

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

Apply this formula for all numbers.

Step1:

LCM(621, 300) = 62100

GCD(621, 300) = ( 621 x 300 ) / 62100

= 621 / 300

= 621


Step2:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3


Step3:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3


So, Greatest Common Divisor of 621, 300, 396, 753 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 621, 300, 396, 753

Given numbers are 621, 300, 396, 753
The greatest common divisor of numbers 621, 300, 396, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 300, 396, 753 is 3.

FAQs on GCD of 621, 300, 396, 753 Calculator

1. What is the GCD of 621, 300, 396, 753?

GCD of given numbers 621, 300, 396, 753 is 3


2. How to calculate the greatest common divisor of 621, 300, 396, 753?

We can find the highest common divisor of 621, 300, 396, 753 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, 300, 396, 753 i.e 3.


3. How can I use the GCD of 621, 300, 396, 753Calculator?

Out the numbers 621, 300, 396, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.