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GCD of 660, 267, 746, 634 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, 267, 746, 634 quickly. Get the easiest ways to solve the greatest common divisor of 660, 267, 746, 634 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 267, 746, 634 with Factoring?

Given Input numbers are 660, 267, 746, 634

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634


GCD of numbers is the greatest common divisor

So, the GCD (660, 267, 746, 634) = 1.

Find GCD of 660, 267, 746, 634 using Prime Factorization

Given numbers are 660, 267, 746, 634

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 267 are 3 x 89

Prime factors of 746 are 2 x 373

Prime factors of 634 are 2 x 317

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

Steps to Calculate GCD of 660, 267, 746, 634 using LCM Formula

Given numbers are 660, 267, 746, 634

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

Apply this formula for all numbers.

Step1:

LCM(660, 267) = 58740

GCD(660, 267) = ( 660 x 267 ) / 58740

= 660 / 267

= 660


Step2:

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

= 3 / 746

= 3


Step3:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1


So, Greatest Common Divisor of 660, 267, 746, 634 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 267, 746, 634

Given numbers are 660, 267, 746, 634
The greatest common divisor of numbers 660, 267, 746, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 267, 746, 634 is 1.

FAQs on GCD of 660, 267, 746, 634 Calculator

1. What is the GCD of 660, 267, 746, 634?

GCD of given numbers 660, 267, 746, 634 is 1


2. How to calculate the greatest common divisor of 660, 267, 746, 634?

We can find the highest common divisor of 660, 267, 746, 634 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, 267, 746, 634 i.e 1.


3. How can I use the GCD of 660, 267, 746, 634Calculator?

Out the numbers 660, 267, 746, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.