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GCD of 747, 724, 271, 660 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, 724, 271, 660 quickly. Get the easiest ways to solve the greatest common divisor of 747, 724, 271, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 724, 271, 660 with Factoring?

Given Input numbers are 747, 724, 271, 660

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (747, 724, 271, 660) = 1.

Find GCD of 747, 724, 271, 660 using Prime Factorization

Given numbers are 747, 724, 271, 660

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 724 are 2 x 2 x 181

Prime factors of 271 are 271

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 747, 724, 271, 660 using LCM Formula

Given numbers are 747, 724, 271, 660

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

Apply this formula for all numbers.

Step1:

LCM(747, 724) = 540828

GCD(747, 724) = ( 747 x 724 ) / 540828

= 747 / 724

= 747


Step2:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 747, 724, 271, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 724, 271, 660

Given numbers are 747, 724, 271, 660
The greatest common divisor of numbers 747, 724, 271, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 724, 271, 660 is 1.

FAQs on GCD of 747, 724, 271, 660 Calculator

1. What is the GCD of 747, 724, 271, 660?

GCD of given numbers 747, 724, 271, 660 is 1


2. How to calculate the greatest common divisor of 747, 724, 271, 660?

We can find the highest common divisor of 747, 724, 271, 660 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, 724, 271, 660 i.e 1.


3. How can I use the GCD of 747, 724, 271, 660Calculator?

Out the numbers 747, 724, 271, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.