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GCD of 618, 399, 744, 693 Calculator

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


Online GCD Calculator is useful to find the GCD of 618, 399, 744, 693 quickly. Get the easiest ways to solve the greatest common divisor of 618, 399, 744, 693 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 618, 399, 744, 693 with Factoring?

Given Input numbers are 618, 399, 744, 693

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

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693


GCD of numbers is the greatest common divisor

So, the GCD (618, 399, 744, 693) = 3.

Find GCD of 618, 399, 744, 693 using Prime Factorization

Given numbers are 618, 399, 744, 693

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 399 are 3 x 7 x 19

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

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 31

Therefore, GCD of 618, 399, 744, 693 is 3.

Steps to Calculate GCD of 618, 399, 744, 693 using LCM Formula

Given numbers are 618, 399, 744, 693

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

Apply this formula for all numbers.

Step1:

LCM(618, 399) = 82194

GCD(618, 399) = ( 618 x 399 ) / 82194

= 618 / 399

= 618


Step2:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3


Step3:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3


So, Greatest Common Divisor of 618, 399, 744, 693 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 618, 399, 744, 693

Given numbers are 618, 399, 744, 693
The greatest common divisor of numbers 618, 399, 744, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 399, 744, 693 is 3.

FAQs on GCD of 618, 399, 744, 693 Calculator

1. What is the GCD of 618, 399, 744, 693?

GCD of given numbers 618, 399, 744, 693 is 3


2. How to calculate the greatest common divisor of 618, 399, 744, 693?

We can find the highest common divisor of 618, 399, 744, 693 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 618, 399, 744, 693 i.e 3.


3. How can I use the GCD of 618, 399, 744, 693Calculator?

Out the numbers 618, 399, 744, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.