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GCD of 660, 755, 731, 721 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 755, 731, 721 quickly. Get the easiest ways to solve the greatest common divisor of 660, 755, 731, 721 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 755, 731, 721 with Factoring?

Given Input numbers are 660, 755, 731, 721

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

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721


GCD of numbers is the greatest common divisor

So, the GCD (660, 755, 731, 721) = 1.

Find GCD of 660, 755, 731, 721 using Prime Factorization

Given numbers are 660, 755, 731, 721

The list of prime factors of all numbers are

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

Prime factors of 755 are 5 x 151

Prime factors of 731 are 17 x 43

Prime factors of 721 are 7 x 103

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

Steps to Calculate GCD of 660, 755, 731, 721 using LCM Formula

Given numbers are 660, 755, 731, 721

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

Apply this formula for all numbers.

Step1:

LCM(660, 755) = 99660

GCD(660, 755) = ( 660 x 755 ) / 99660

= 660 / 755

= 660


Step2:

LCM(5, 731) = 3655

GCD(5, 731) = ( 5 x 731 ) / 3655

= 5 / 731

= 5


Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1


So, Greatest Common Divisor of 660, 755, 731, 721 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 755, 731, 721

Given numbers are 660, 755, 731, 721
The greatest common divisor of numbers 660, 755, 731, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 755, 731, 721 is 1.

FAQs on GCD of 660, 755, 731, 721 Calculator

1. What is the GCD of 660, 755, 731, 721?

GCD of given numbers 660, 755, 731, 721 is 1


2. How to calculate the greatest common divisor of 660, 755, 731, 721?

We can find the highest common divisor of 660, 755, 731, 721 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 660, 755, 731, 721 i.e 1.


3. How can I use the GCD of 660, 755, 731, 721Calculator?

Out the numbers 660, 755, 731, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.