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GCD of 688, 730, 248, 484 Calculator

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


Online GCD Calculator is useful to find the GCD of 688, 730, 248, 484 quickly. Get the easiest ways to solve the greatest common divisor of 688, 730, 248, 484 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 688, 730, 248, 484 with Factoring?

Given Input numbers are 688, 730, 248, 484

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 730 :

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

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484


GCD of numbers is the greatest common divisor

So, the GCD (688, 730, 248, 484) = 2.

Find GCD of 688, 730, 248, 484 using Prime Factorization

Given numbers are 688, 730, 248, 484

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 730 are 2 x 5 x 73

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 688, 730, 248, 484 is 2.

Steps to Calculate GCD of 688, 730, 248, 484 using LCM Formula

Given numbers are 688, 730, 248, 484

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

Apply this formula for all numbers.

Step1:

LCM(688, 730) = 251120

GCD(688, 730) = ( 688 x 730 ) / 251120

= 688 / 730

= 688


Step2:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2


Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2


So, Greatest Common Divisor of 688, 730, 248, 484 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 688, 730, 248, 484

Given numbers are 688, 730, 248, 484
The greatest common divisor of numbers 688, 730, 248, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 730, 248, 484 is 2.

FAQs on GCD of 688, 730, 248, 484 Calculator

1. What is the GCD of 688, 730, 248, 484?

GCD of given numbers 688, 730, 248, 484 is 2


2. How to calculate the greatest common divisor of 688, 730, 248, 484?

We can find the highest common divisor of 688, 730, 248, 484 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 688, 730, 248, 484 i.e 2.


3. How can I use the GCD of 688, 730, 248, 484Calculator?

Out the numbers 688, 730, 248, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.