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GCD of 744, 588, 426, 621 Calculator

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


Online GCD Calculator is useful to find the GCD of 744, 588, 426, 621 quickly. Get the easiest ways to solve the greatest common divisor of 744, 588, 426, 621 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 588, 426, 621 with Factoring?

Given Input numbers are 744, 588, 426, 621

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 621 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (744, 588, 426, 621) = 3.

Find GCD of 744, 588, 426, 621 using Prime Factorization

Given numbers are 744, 588, 426, 621

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 426 are 2 x 3 x 71

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

The highest common occurrence is 31

Therefore, GCD of 744, 588, 426, 621 is 3.

Steps to Calculate GCD of 744, 588, 426, 621 using LCM Formula

Given numbers are 744, 588, 426, 621

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

Apply this formula for all numbers.

Step1:

LCM(744, 588) = 36456

GCD(744, 588) = ( 744 x 588 ) / 36456

= 744 / 588

= 744


Step2:

LCM(12, 426) = 852

GCD(12, 426) = ( 12 x 426 ) / 852

= 12 / 426

= 12


Step3:

LCM(6, 621) = 1242

GCD(6, 621) = ( 6 x 621 ) / 1242

= 6 / 621

= 6


So, Greatest Common Divisor of 744, 588, 426, 621 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 588, 426, 621

Given numbers are 744, 588, 426, 621
The greatest common divisor of numbers 744, 588, 426, 621 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 588, 426, 621 is 3.

FAQs on GCD of 744, 588, 426, 621 Calculator

1. What is the GCD of 744, 588, 426, 621?

GCD of given numbers 744, 588, 426, 621 is 3


2. How to calculate the greatest common divisor of 744, 588, 426, 621?

We can find the highest common divisor of 744, 588, 426, 621 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 744, 588, 426, 621 i.e 3.


3. How can I use the GCD of 744, 588, 426, 621Calculator?

Out the numbers 744, 588, 426, 621 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.