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GCD of 480, 634, 156, 361 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, 634, 156, 361 quickly. Get the easiest ways to solve the greatest common divisor of 480, 634, 156, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 634, 156, 361 with Factoring?

Given Input numbers are 480, 634, 156, 361

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 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (480, 634, 156, 361) = 1.

Find GCD of 480, 634, 156, 361 using Prime Factorization

Given numbers are 480, 634, 156, 361

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 634 are 2 x 317

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 480, 634, 156, 361 using LCM Formula

Given numbers are 480, 634, 156, 361

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

Apply this formula for all numbers.

Step1:

LCM(480, 634) = 152160

GCD(480, 634) = ( 480 x 634 ) / 152160

= 480 / 634

= 480


Step2:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2


Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2


So, Greatest Common Divisor of 480, 634, 156, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 634, 156, 361

Given numbers are 480, 634, 156, 361
The greatest common divisor of numbers 480, 634, 156, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 634, 156, 361 is 1.

FAQs on GCD of 480, 634, 156, 361 Calculator

1. What is the GCD of 480, 634, 156, 361?

GCD of given numbers 480, 634, 156, 361 is 1


2. How to calculate the greatest common divisor of 480, 634, 156, 361?

We can find the highest common divisor of 480, 634, 156, 361 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, 634, 156, 361 i.e 1.


3. How can I use the GCD of 480, 634, 156, 361Calculator?

Out the numbers 480, 634, 156, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.