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GCD of 660, 746, 602, 690 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, 746, 602, 690 quickly. Get the easiest ways to solve the greatest common divisor of 660, 746, 602, 690 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 746, 602, 690 with Factoring?

Given Input numbers are 660, 746, 602, 690

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 746 :

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

1, 2, 373, 746

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (660, 746, 602, 690) = 2.

Find GCD of 660, 746, 602, 690 using Prime Factorization

Given numbers are 660, 746, 602, 690

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 746 are 2 x 373

Prime factors of 602 are 2 x 7 x 43

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 660, 746, 602, 690 is 2.

Steps to Calculate GCD of 660, 746, 602, 690 using LCM Formula

Given numbers are 660, 746, 602, 690

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

Apply this formula for all numbers.

Step1:

LCM(660, 746) = 246180

GCD(660, 746) = ( 660 x 746 ) / 246180

= 660 / 746

= 660


Step2:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2


Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2


So, Greatest Common Divisor of 660, 746, 602, 690 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 746, 602, 690

Given numbers are 660, 746, 602, 690
The greatest common divisor of numbers 660, 746, 602, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 746, 602, 690 is 2.

FAQs on GCD of 660, 746, 602, 690 Calculator

1. What is the GCD of 660, 746, 602, 690?

GCD of given numbers 660, 746, 602, 690 is 2


2. How to calculate the greatest common divisor of 660, 746, 602, 690?

We can find the highest common divisor of 660, 746, 602, 690 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, 746, 602, 690 i.e 2.


3. How can I use the GCD of 660, 746, 602, 690Calculator?

Out the numbers 660, 746, 602, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.