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GCD of 488, 730, 304, 980 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 488, 730, 304, 980 quickly. Get the easiest ways to solve the greatest common divisor of 488, 730, 304, 980 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 488, 730, 304, 980 with Factoring?

Given Input numbers are 488, 730, 304, 980

In the factoring method, we have to find the divisors of all numbers

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (488, 730, 304, 980) = 2.

Find GCD of 488, 730, 304, 980 using Prime Factorization

Given numbers are 488, 730, 304, 980

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 730 are 2 x 5 x 73

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 488, 730, 304, 980 is 2.

Steps to Calculate GCD of 488, 730, 304, 980 using LCM Formula

Given numbers are 488, 730, 304, 980

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

Apply this formula for all numbers.

Step1:

LCM(488, 730) = 178120

GCD(488, 730) = ( 488 x 730 ) / 178120

= 488 / 730

= 488


Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2


Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2


So, Greatest Common Divisor of 488, 730, 304, 980 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 488, 730, 304, 980

Given numbers are 488, 730, 304, 980
The greatest common divisor of numbers 488, 730, 304, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 730, 304, 980 is 2.

FAQs on GCD of 488, 730, 304, 980 Calculator

1. What is the GCD of 488, 730, 304, 980?

GCD of given numbers 488, 730, 304, 980 is 2


2. How to calculate the greatest common divisor of 488, 730, 304, 980?

We can find the highest common divisor of 488, 730, 304, 980 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 488, 730, 304, 980 i.e 2.


3. How can I use the GCD of 488, 730, 304, 980Calculator?

Out the numbers 488, 730, 304, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.