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GCD of 660, 138, 780, 760 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, 138, 780, 760 quickly. Get the easiest ways to solve the greatest common divisor of 660, 138, 780, 760 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 138, 780, 760 with Factoring?

Given Input numbers are 660, 138, 780, 760

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760


GCD of numbers is the greatest common divisor

So, the GCD (660, 138, 780, 760) = 2.

Find GCD of 660, 138, 780, 760 using Prime Factorization

Given numbers are 660, 138, 780, 760

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 138 are 2 x 3 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 21

Therefore, GCD of 660, 138, 780, 760 is 2.

Steps to Calculate GCD of 660, 138, 780, 760 using LCM Formula

Given numbers are 660, 138, 780, 760

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

Apply this formula for all numbers.

Step1:

LCM(660, 138) = 15180

GCD(660, 138) = ( 660 x 138 ) / 15180

= 660 / 138

= 660


Step2:

LCM(6, 780) = 780

GCD(6, 780) = ( 6 x 780 ) / 780

= 6 / 780

= 6


Step3:

LCM(6, 760) = 2280

GCD(6, 760) = ( 6 x 760 ) / 2280

= 6 / 760

= 6


So, Greatest Common Divisor of 660, 138, 780, 760 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 138, 780, 760

Given numbers are 660, 138, 780, 760
The greatest common divisor of numbers 660, 138, 780, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 138, 780, 760 is 2.

FAQs on GCD of 660, 138, 780, 760 Calculator

1. What is the GCD of 660, 138, 780, 760?

GCD of given numbers 660, 138, 780, 760 is 2


2. How to calculate the greatest common divisor of 660, 138, 780, 760?

We can find the highest common divisor of 660, 138, 780, 760 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, 138, 780, 760 i.e 2.


3. How can I use the GCD of 660, 138, 780, 760Calculator?

Out the numbers 660, 138, 780, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.