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GCD of 480, 376, 352, 567 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, 376, 352, 567 quickly. Get the easiest ways to solve the greatest common divisor of 480, 376, 352, 567 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 376, 352, 567 with Factoring?

Given Input numbers are 480, 376, 352, 567

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567


GCD of numbers is the greatest common divisor

So, the GCD (480, 376, 352, 567) = 1.

Find GCD of 480, 376, 352, 567 using Prime Factorization

Given numbers are 480, 376, 352, 567

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 376 are 2 x 2 x 2 x 47

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 480, 376, 352, 567 using LCM Formula

Given numbers are 480, 376, 352, 567

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

Apply this formula for all numbers.

Step1:

LCM(480, 376) = 22560

GCD(480, 376) = ( 480 x 376 ) / 22560

= 480 / 376

= 480


Step2:

LCM(8, 352) = 352

GCD(8, 352) = ( 8 x 352 ) / 352

= 8 / 352

= 8


Step3:

LCM(8, 567) = 4536

GCD(8, 567) = ( 8 x 567 ) / 4536

= 8 / 567

= 8


So, Greatest Common Divisor of 480, 376, 352, 567 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 376, 352, 567

Given numbers are 480, 376, 352, 567
The greatest common divisor of numbers 480, 376, 352, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 376, 352, 567 is 1.

FAQs on GCD of 480, 376, 352, 567 Calculator

1. What is the GCD of 480, 376, 352, 567?

GCD of given numbers 480, 376, 352, 567 is 1


2. How to calculate the greatest common divisor of 480, 376, 352, 567?

We can find the highest common divisor of 480, 376, 352, 567 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, 376, 352, 567 i.e 1.


3. How can I use the GCD of 480, 376, 352, 567Calculator?

Out the numbers 480, 376, 352, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.