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GCD of 508, 366, 590, 612 Calculator

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


Online GCD Calculator is useful to find the GCD of 508, 366, 590, 612 quickly. Get the easiest ways to solve the greatest common divisor of 508, 366, 590, 612 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 508, 366, 590, 612 with Factoring?

Given Input numbers are 508, 366, 590, 612

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (508, 366, 590, 612) = 2.

Find GCD of 508, 366, 590, 612 using Prime Factorization

Given numbers are 508, 366, 590, 612

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 366 are 2 x 3 x 61

Prime factors of 590 are 2 x 5 x 59

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 508, 366, 590, 612 is 2.

Steps to Calculate GCD of 508, 366, 590, 612 using LCM Formula

Given numbers are 508, 366, 590, 612

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

Apply this formula for all numbers.

Step1:

LCM(508, 366) = 92964

GCD(508, 366) = ( 508 x 366 ) / 92964

= 508 / 366

= 508


Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2


Step3:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2


So, Greatest Common Divisor of 508, 366, 590, 612 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 508, 366, 590, 612

Given numbers are 508, 366, 590, 612
The greatest common divisor of numbers 508, 366, 590, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 366, 590, 612 is 2.

FAQs on GCD of 508, 366, 590, 612 Calculator

1. What is the GCD of 508, 366, 590, 612?

GCD of given numbers 508, 366, 590, 612 is 2


2. How to calculate the greatest common divisor of 508, 366, 590, 612?

We can find the highest common divisor of 508, 366, 590, 612 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 508, 366, 590, 612 i.e 2.


3. How can I use the GCD of 508, 366, 590, 612Calculator?

Out the numbers 508, 366, 590, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.