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GCD of 480, 616, 292, 130 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, 616, 292, 130 quickly. Get the easiest ways to solve the greatest common divisor of 480, 616, 292, 130 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 616, 292, 130 with Factoring?

Given Input numbers are 480, 616, 292, 130

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130


GCD of numbers is the greatest common divisor

So, the GCD (480, 616, 292, 130) = 2.

Find GCD of 480, 616, 292, 130 using Prime Factorization

Given numbers are 480, 616, 292, 130

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 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 292 are 2 x 2 x 73

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 480, 616, 292, 130 is 2.

Steps to Calculate GCD of 480, 616, 292, 130 using LCM Formula

Given numbers are 480, 616, 292, 130

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

Apply this formula for all numbers.

Step1:

LCM(480, 616) = 36960

GCD(480, 616) = ( 480 x 616 ) / 36960

= 480 / 616

= 480


Step2:

LCM(8, 292) = 584

GCD(8, 292) = ( 8 x 292 ) / 584

= 8 / 292

= 8


Step3:

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

= 4 / 130

= 4


So, Greatest Common Divisor of 480, 616, 292, 130 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 616, 292, 130

Given numbers are 480, 616, 292, 130
The greatest common divisor of numbers 480, 616, 292, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 616, 292, 130 is 2.

FAQs on GCD of 480, 616, 292, 130 Calculator

1. What is the GCD of 480, 616, 292, 130?

GCD of given numbers 480, 616, 292, 130 is 2


2. How to calculate the greatest common divisor of 480, 616, 292, 130?

We can find the highest common divisor of 480, 616, 292, 130 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, 616, 292, 130 i.e 2.


3. How can I use the GCD of 480, 616, 292, 130Calculator?

Out the numbers 480, 616, 292, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.