LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 274, 744, 393, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 274, 744, 393, 684 quickly. Get the easiest ways to solve the greatest common divisor of 274, 744, 393, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 274, 744, 393, 684 with Factoring?

Given Input numbers are 274, 744, 393, 684

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (274, 744, 393, 684) = 1.

Find GCD of 274, 744, 393, 684 using Prime Factorization

Given numbers are 274, 744, 393, 684

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

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

Prime factors of 393 are 3 x 131

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 274, 744, 393, 684 using LCM Formula

Given numbers are 274, 744, 393, 684

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

Apply this formula for all numbers.

Step1:

LCM(274, 744) = 101928

GCD(274, 744) = ( 274 x 744 ) / 101928

= 274 / 744

= 274


Step2:

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

= 2 / 393

= 2


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 274, 744, 393, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 274, 744, 393, 684

Given numbers are 274, 744, 393, 684
The greatest common divisor of numbers 274, 744, 393, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 744, 393, 684 is 1.

FAQs on GCD of 274, 744, 393, 684 Calculator

1. What is the GCD of 274, 744, 393, 684?

GCD of given numbers 274, 744, 393, 684 is 1


2. How to calculate the greatest common divisor of 274, 744, 393, 684?

We can find the highest common divisor of 274, 744, 393, 684 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 274, 744, 393, 684 i.e 1.


3. How can I use the GCD of 274, 744, 393, 684Calculator?

Out the numbers 274, 744, 393, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.