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GCD of 480, 813, 276, 349 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, 813, 276, 349 quickly. Get the easiest ways to solve the greatest common divisor of 480, 813, 276, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 813, 276, 349 with Factoring?

Given Input numbers are 480, 813, 276, 349

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 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (480, 813, 276, 349) = 1.

Find GCD of 480, 813, 276, 349 using Prime Factorization

Given numbers are 480, 813, 276, 349

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 813 are 3 x 271

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 349 are 349

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

Steps to Calculate GCD of 480, 813, 276, 349 using LCM Formula

Given numbers are 480, 813, 276, 349

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

Apply this formula for all numbers.

Step1:

LCM(480, 813) = 130080

GCD(480, 813) = ( 480 x 813 ) / 130080

= 480 / 813

= 480


Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3


Step3:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3


So, Greatest Common Divisor of 480, 813, 276, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 813, 276, 349

Given numbers are 480, 813, 276, 349
The greatest common divisor of numbers 480, 813, 276, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 813, 276, 349 is 1.

FAQs on GCD of 480, 813, 276, 349 Calculator

1. What is the GCD of 480, 813, 276, 349?

GCD of given numbers 480, 813, 276, 349 is 1


2. How to calculate the greatest common divisor of 480, 813, 276, 349?

We can find the highest common divisor of 480, 813, 276, 349 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, 813, 276, 349 i.e 1.


3. How can I use the GCD of 480, 813, 276, 349Calculator?

Out the numbers 480, 813, 276, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.