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GCD of 608, 642, 518, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 608, 642, 518, 272 quickly. Get the easiest ways to solve the greatest common divisor of 608, 642, 518, 272 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 608, 642, 518, 272 with Factoring?

Given Input numbers are 608, 642, 518, 272

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272


GCD of numbers is the greatest common divisor

So, the GCD (608, 642, 518, 272) = 2.

Find GCD of 608, 642, 518, 272 using Prime Factorization

Given numbers are 608, 642, 518, 272

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 642 are 2 x 3 x 107

Prime factors of 518 are 2 x 7 x 37

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 21

Therefore, GCD of 608, 642, 518, 272 is 2.

Steps to Calculate GCD of 608, 642, 518, 272 using LCM Formula

Given numbers are 608, 642, 518, 272

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

Apply this formula for all numbers.

Step1:

LCM(608, 642) = 195168

GCD(608, 642) = ( 608 x 642 ) / 195168

= 608 / 642

= 608


Step2:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2


Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2


So, Greatest Common Divisor of 608, 642, 518, 272 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 608, 642, 518, 272

Given numbers are 608, 642, 518, 272
The greatest common divisor of numbers 608, 642, 518, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 642, 518, 272 is 2.

FAQs on GCD of 608, 642, 518, 272 Calculator

1. What is the GCD of 608, 642, 518, 272?

GCD of given numbers 608, 642, 518, 272 is 2


2. How to calculate the greatest common divisor of 608, 642, 518, 272?

We can find the highest common divisor of 608, 642, 518, 272 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 608, 642, 518, 272 i.e 2.


3. How can I use the GCD of 608, 642, 518, 272Calculator?

Out the numbers 608, 642, 518, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.