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GCD of 480, 780, 59 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 780, 59 quickly. Get the easiest ways to solve the greatest common divisor of 480, 780, 59 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 780, 59 with Factoring?

Given Input numbers are 480, 780, 59

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59


GCD of numbers is the greatest common divisor

So, the GCD (480, 780, 59) = 1.

Find GCD of 480, 780, 59 using Prime Factorization

Given numbers are 480, 780, 59

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 59 are 59

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

Steps to Calculate GCD of 480, 780, 59 using LCM Formula

Given numbers are 480, 780, 59

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

Apply this formula for all numbers.

Step1:

LCM(480, 780) = 6240

GCD(480, 780) = ( 480 x 780 ) / 6240

= 480 / 780

= 480


Step2:

LCM(60, 59) = 3540

GCD(60, 59) = ( 60 x 59 ) / 3540

= 60 / 59

= 60


So, Greatest Common Divisor of 480, 780, 59 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 780, 59

Given numbers are 480, 780, 59
The greatest common divisor of numbers 480, 780, 59 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 780, 59 is 1.

FAQs on GCD of 480, 780, 59 Calculator

1. What is the GCD of 480, 780, 59?

GCD of given numbers 480, 780, 59 is 1


2. How to calculate the greatest common divisor of 480, 780, 59?

We can find the highest common divisor of 480, 780, 59 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 480, 780, 59 i.e 1.


3. How can I use the GCD of 480, 780, 59Calculator?

Out the numbers 480, 780, 59 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.