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GCD of 760, 339, 14 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 760, 339, 14 quickly. Get the easiest ways to solve the greatest common divisor of 760, 339, 14 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 339, 14 with Factoring?

Given Input numbers are 760, 339, 14

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

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14


GCD of numbers is the greatest common divisor

So, the GCD (760, 339, 14) = 1.

Find GCD of 760, 339, 14 using Prime Factorization

Given numbers are 760, 339, 14

The list of prime factors of all numbers are

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

Prime factors of 339 are 3 x 113

Prime factors of 14 are 2 x 7

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

Steps to Calculate GCD of 760, 339, 14 using LCM Formula

Given numbers are 760, 339, 14

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

Apply this formula for all numbers.

Step1:

LCM(760, 339) = 257640

GCD(760, 339) = ( 760 x 339 ) / 257640

= 760 / 339

= 760


Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1


So, Greatest Common Divisor of 760, 339, 14 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 339, 14

Given numbers are 760, 339, 14
The greatest common divisor of numbers 760, 339, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 339, 14 is 1.

FAQs on GCD of 760, 339, 14 Calculator

1. What is the GCD of 760, 339, 14?

GCD of given numbers 760, 339, 14 is 1


2. How to calculate the greatest common divisor of 760, 339, 14?

We can find the highest common divisor of 760, 339, 14 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 760, 339, 14 i.e 1.


3. How can I use the GCD of 760, 339, 14Calculator?

Out the numbers 760, 339, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.