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GCD of 744, 348, 136, 507 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, 348, 136, 507 quickly. Get the easiest ways to solve the greatest common divisor of 744, 348, 136, 507 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 348, 136, 507 with Factoring?

Given Input numbers are 744, 348, 136, 507

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507


GCD of numbers is the greatest common divisor

So, the GCD (744, 348, 136, 507) = 1.

Find GCD of 744, 348, 136, 507 using Prime Factorization

Given numbers are 744, 348, 136, 507

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 348 are 2 x 2 x 3 x 29

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 507 are 3 x 13 x 13

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

Steps to Calculate GCD of 744, 348, 136, 507 using LCM Formula

Given numbers are 744, 348, 136, 507

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

Apply this formula for all numbers.

Step1:

LCM(744, 348) = 21576

GCD(744, 348) = ( 744 x 348 ) / 21576

= 744 / 348

= 744


Step2:

LCM(12, 136) = 408

GCD(12, 136) = ( 12 x 136 ) / 408

= 12 / 136

= 12


Step3:

LCM(4, 507) = 2028

GCD(4, 507) = ( 4 x 507 ) / 2028

= 4 / 507

= 4


So, Greatest Common Divisor of 744, 348, 136, 507 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 348, 136, 507

Given numbers are 744, 348, 136, 507
The greatest common divisor of numbers 744, 348, 136, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 348, 136, 507 is 1.

FAQs on GCD of 744, 348, 136, 507 Calculator

1. What is the GCD of 744, 348, 136, 507?

GCD of given numbers 744, 348, 136, 507 is 1


2. How to calculate the greatest common divisor of 744, 348, 136, 507?

We can find the highest common divisor of 744, 348, 136, 507 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, 348, 136, 507 i.e 1.


3. How can I use the GCD of 744, 348, 136, 507Calculator?

Out the numbers 744, 348, 136, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.