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GCD of 660, 668, 812, 749 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, 668, 812, 749 quickly. Get the easiest ways to solve the greatest common divisor of 660, 668, 812, 749 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 668, 812, 749 with Factoring?

Given Input numbers are 660, 668, 812, 749

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749


GCD of numbers is the greatest common divisor

So, the GCD (660, 668, 812, 749) = 1.

Find GCD of 660, 668, 812, 749 using Prime Factorization

Given numbers are 660, 668, 812, 749

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 668 are 2 x 2 x 167

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 749 are 7 x 107

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

Steps to Calculate GCD of 660, 668, 812, 749 using LCM Formula

Given numbers are 660, 668, 812, 749

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

Apply this formula for all numbers.

Step1:

LCM(660, 668) = 110220

GCD(660, 668) = ( 660 x 668 ) / 110220

= 660 / 668

= 660


Step2:

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

= 4 / 812

= 4


Step3:

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

= 4 / 749

= 4


So, Greatest Common Divisor of 660, 668, 812, 749 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 668, 812, 749

Given numbers are 660, 668, 812, 749
The greatest common divisor of numbers 660, 668, 812, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 668, 812, 749 is 1.

FAQs on GCD of 660, 668, 812, 749 Calculator

1. What is the GCD of 660, 668, 812, 749?

GCD of given numbers 660, 668, 812, 749 is 1


2. How to calculate the greatest common divisor of 660, 668, 812, 749?

We can find the highest common divisor of 660, 668, 812, 749 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, 668, 812, 749 i.e 1.


3. How can I use the GCD of 660, 668, 812, 749Calculator?

Out the numbers 660, 668, 812, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.