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GCD of 617, 153, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 617, 153, 480 quickly. Get the easiest ways to solve the greatest common divisor of 617, 153, 480 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 617, 153, 480 with Factoring?

Given Input numbers are 617, 153, 480

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

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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


GCD of numbers is the greatest common divisor

So, the GCD (617, 153, 480) = 1.

Find GCD of 617, 153, 480 using Prime Factorization

Given numbers are 617, 153, 480

The list of prime factors of all numbers are

Prime factors of 617 are 617

Prime factors of 153 are 3 x 3 x 17

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

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

Steps to Calculate GCD of 617, 153, 480 using LCM Formula

Given numbers are 617, 153, 480

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

Apply this formula for all numbers.

Step1:

LCM(617, 153) = 94401

GCD(617, 153) = ( 617 x 153 ) / 94401

= 617 / 153

= 617


Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


So, Greatest Common Divisor of 617, 153, 480 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 617, 153, 480

Given numbers are 617, 153, 480
The greatest common divisor of numbers 617, 153, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 617, 153, 480 is 1.

FAQs on GCD of 617, 153, 480 Calculator

1. What is the GCD of 617, 153, 480?

GCD of given numbers 617, 153, 480 is 1


2. How to calculate the greatest common divisor of 617, 153, 480?

We can find the highest common divisor of 617, 153, 480 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 617, 153, 480 i.e 1.


3. How can I use the GCD of 617, 153, 480Calculator?

Out the numbers 617, 153, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.