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GCD of 480, 165, 200, 102 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, 165, 200, 102 quickly. Get the easiest ways to solve the greatest common divisor of 480, 165, 200, 102 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 165, 200, 102 with Factoring?

Given Input numbers are 480, 165, 200, 102

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102


GCD of numbers is the greatest common divisor

So, the GCD (480, 165, 200, 102) = 1.

Find GCD of 480, 165, 200, 102 using Prime Factorization

Given numbers are 480, 165, 200, 102

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 165 are 3 x 5 x 11

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 102 are 2 x 3 x 17

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

Steps to Calculate GCD of 480, 165, 200, 102 using LCM Formula

Given numbers are 480, 165, 200, 102

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

Apply this formula for all numbers.

Step1:

LCM(480, 165) = 5280

GCD(480, 165) = ( 480 x 165 ) / 5280

= 480 / 165

= 480


Step2:

LCM(15, 200) = 600

GCD(15, 200) = ( 15 x 200 ) / 600

= 15 / 200

= 15


Step3:

LCM(5, 102) = 510

GCD(5, 102) = ( 5 x 102 ) / 510

= 5 / 102

= 5


So, Greatest Common Divisor of 480, 165, 200, 102 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 165, 200, 102

Given numbers are 480, 165, 200, 102
The greatest common divisor of numbers 480, 165, 200, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 165, 200, 102 is 1.

FAQs on GCD of 480, 165, 200, 102 Calculator

1. What is the GCD of 480, 165, 200, 102?

GCD of given numbers 480, 165, 200, 102 is 1


2. How to calculate the greatest common divisor of 480, 165, 200, 102?

We can find the highest common divisor of 480, 165, 200, 102 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, 165, 200, 102 i.e 1.


3. How can I use the GCD of 480, 165, 200, 102Calculator?

Out the numbers 480, 165, 200, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.