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GCD of 748, 720, 744, 381 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 720, 744, 381 quickly. Get the easiest ways to solve the greatest common divisor of 748, 720, 744, 381 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 720, 744, 381 with Factoring?

Given Input numbers are 748, 720, 744, 381

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381


GCD of numbers is the greatest common divisor

So, the GCD (748, 720, 744, 381) = 1.

Find GCD of 748, 720, 744, 381 using Prime Factorization

Given numbers are 748, 720, 744, 381

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 381 are 3 x 127

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

Steps to Calculate GCD of 748, 720, 744, 381 using LCM Formula

Given numbers are 748, 720, 744, 381

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

Apply this formula for all numbers.

Step1:

LCM(748, 720) = 134640

GCD(748, 720) = ( 748 x 720 ) / 134640

= 748 / 720

= 748


Step2:

LCM(4, 744) = 744

GCD(4, 744) = ( 4 x 744 ) / 744

= 4 / 744

= 4


Step3:

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

= 4 / 381

= 4


So, Greatest Common Divisor of 748, 720, 744, 381 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 720, 744, 381

Given numbers are 748, 720, 744, 381
The greatest common divisor of numbers 748, 720, 744, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 720, 744, 381 is 1.

FAQs on GCD of 748, 720, 744, 381 Calculator

1. What is the GCD of 748, 720, 744, 381?

GCD of given numbers 748, 720, 744, 381 is 1


2. How to calculate the greatest common divisor of 748, 720, 744, 381?

We can find the highest common divisor of 748, 720, 744, 381 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 748, 720, 744, 381 i.e 1.


3. How can I use the GCD of 748, 720, 744, 381Calculator?

Out the numbers 748, 720, 744, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.