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GCD of 747, 360, 334, 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 747, 360, 334, 381 quickly. Get the easiest ways to solve the greatest common divisor of 747, 360, 334, 381 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 360, 334, 381 with Factoring?

Given Input numbers are 747, 360, 334, 381

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 (747, 360, 334, 381) = 1.

Find GCD of 747, 360, 334, 381 using Prime Factorization

Given numbers are 747, 360, 334, 381

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 334 are 2 x 167

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 747, 360, 334, 381 using LCM Formula

Given numbers are 747, 360, 334, 381

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

Apply this formula for all numbers.

Step1:

LCM(747, 360) = 29880

GCD(747, 360) = ( 747 x 360 ) / 29880

= 747 / 360

= 747


Step2:

LCM(9, 334) = 3006

GCD(9, 334) = ( 9 x 334 ) / 3006

= 9 / 334

= 9


Step3:

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

= 1 / 381

= 1


So, Greatest Common Divisor of 747, 360, 334, 381 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 360, 334, 381

Given numbers are 747, 360, 334, 381
The greatest common divisor of numbers 747, 360, 334, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 360, 334, 381 is 1.

FAQs on GCD of 747, 360, 334, 381 Calculator

1. What is the GCD of 747, 360, 334, 381?

GCD of given numbers 747, 360, 334, 381 is 1


2. How to calculate the greatest common divisor of 747, 360, 334, 381?

We can find the highest common divisor of 747, 360, 334, 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 747, 360, 334, 381 i.e 1.


3. How can I use the GCD of 747, 360, 334, 381Calculator?

Out the numbers 747, 360, 334, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.