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GCD of 369, 339, 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 369, 339, 780, 760 quickly. Get the easiest ways to solve the greatest common divisor of 369, 339, 780, 760 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 369, 339, 780, 760 with Factoring?

Given Input numbers are 369, 339, 780, 760

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

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 (369, 339, 780, 760) = 1.

Find GCD of 369, 339, 780, 760 using Prime Factorization

Given numbers are 369, 339, 780, 760

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 339 are 3 x 113

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

Steps to Calculate GCD of 369, 339, 780, 760 using LCM Formula

Given numbers are 369, 339, 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(369, 339) = 41697

GCD(369, 339) = ( 369 x 339 ) / 41697

= 369 / 339

= 369


Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3


Step3:

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

= 3 / 760

= 3


So, Greatest Common Divisor of 369, 339, 780, 760 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 369, 339, 780, 760

Given numbers are 369, 339, 780, 760
The greatest common divisor of numbers 369, 339, 780, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 339, 780, 760 is 1.

FAQs on GCD of 369, 339, 780, 760 Calculator

1. What is the GCD of 369, 339, 780, 760?

GCD of given numbers 369, 339, 780, 760 is 1


2. How to calculate the greatest common divisor of 369, 339, 780, 760?

We can find the highest common divisor of 369, 339, 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 369, 339, 780, 760 i.e 1.


3. How can I use the GCD of 369, 339, 780, 760Calculator?

Out the numbers 369, 339, 780, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.