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GCD of 480, 345, 960, 902 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, 345, 960, 902 quickly. Get the easiest ways to solve the greatest common divisor of 480, 345, 960, 902 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 345, 960, 902 with Factoring?

Given Input numbers are 480, 345, 960, 902

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902


GCD of numbers is the greatest common divisor

So, the GCD (480, 345, 960, 902) = 1.

Find GCD of 480, 345, 960, 902 using Prime Factorization

Given numbers are 480, 345, 960, 902

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 345 are 3 x 5 x 23

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 902 are 2 x 11 x 41

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

Steps to Calculate GCD of 480, 345, 960, 902 using LCM Formula

Given numbers are 480, 345, 960, 902

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

Apply this formula for all numbers.

Step1:

LCM(480, 345) = 11040

GCD(480, 345) = ( 480 x 345 ) / 11040

= 480 / 345

= 480


Step2:

LCM(15, 960) = 960

GCD(15, 960) = ( 15 x 960 ) / 960

= 15 / 960

= 15


Step3:

LCM(15, 902) = 13530

GCD(15, 902) = ( 15 x 902 ) / 13530

= 15 / 902

= 15


So, Greatest Common Divisor of 480, 345, 960, 902 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 345, 960, 902

Given numbers are 480, 345, 960, 902
The greatest common divisor of numbers 480, 345, 960, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 345, 960, 902 is 1.

FAQs on GCD of 480, 345, 960, 902 Calculator

1. What is the GCD of 480, 345, 960, 902?

GCD of given numbers 480, 345, 960, 902 is 1


2. How to calculate the greatest common divisor of 480, 345, 960, 902?

We can find the highest common divisor of 480, 345, 960, 902 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, 345, 960, 902 i.e 1.


3. How can I use the GCD of 480, 345, 960, 902Calculator?

Out the numbers 480, 345, 960, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.