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GCD of 744, 888, 384, 742 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, 888, 384, 742 quickly. Get the easiest ways to solve the greatest common divisor of 744, 888, 384, 742 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 888, 384, 742 with Factoring?

Given Input numbers are 744, 888, 384, 742

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (744, 888, 384, 742) = 2.

Find GCD of 744, 888, 384, 742 using Prime Factorization

Given numbers are 744, 888, 384, 742

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 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 21

Therefore, GCD of 744, 888, 384, 742 is 2.

Steps to Calculate GCD of 744, 888, 384, 742 using LCM Formula

Given numbers are 744, 888, 384, 742

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

Apply this formula for all numbers.

Step1:

LCM(744, 888) = 27528

GCD(744, 888) = ( 744 x 888 ) / 27528

= 744 / 888

= 744


Step2:

LCM(24, 384) = 384

GCD(24, 384) = ( 24 x 384 ) / 384

= 24 / 384

= 24


Step3:

LCM(24, 742) = 8904

GCD(24, 742) = ( 24 x 742 ) / 8904

= 24 / 742

= 24


So, Greatest Common Divisor of 744, 888, 384, 742 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 888, 384, 742

Given numbers are 744, 888, 384, 742
The greatest common divisor of numbers 744, 888, 384, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 888, 384, 742 is 2.

FAQs on GCD of 744, 888, 384, 742 Calculator

1. What is the GCD of 744, 888, 384, 742?

GCD of given numbers 744, 888, 384, 742 is 2


2. How to calculate the greatest common divisor of 744, 888, 384, 742?

We can find the highest common divisor of 744, 888, 384, 742 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, 888, 384, 742 i.e 2.


3. How can I use the GCD of 744, 888, 384, 742Calculator?

Out the numbers 744, 888, 384, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.