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GCD of 612, 882, 588, 303 Calculator

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


Online GCD Calculator is useful to find the GCD of 612, 882, 588, 303 quickly. Get the easiest ways to solve the greatest common divisor of 612, 882, 588, 303 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 612, 882, 588, 303 with Factoring?

Given Input numbers are 612, 882, 588, 303

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

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303


GCD of numbers is the greatest common divisor

So, the GCD (612, 882, 588, 303) = 3.

Find GCD of 612, 882, 588, 303 using Prime Factorization

Given numbers are 612, 882, 588, 303

The list of prime factors of all numbers are

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 303 are 3 x 101

The highest common occurrence is 31

Therefore, GCD of 612, 882, 588, 303 is 3.

Steps to Calculate GCD of 612, 882, 588, 303 using LCM Formula

Given numbers are 612, 882, 588, 303

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

Apply this formula for all numbers.

Step1:

LCM(612, 882) = 29988

GCD(612, 882) = ( 612 x 882 ) / 29988

= 612 / 882

= 612


Step2:

LCM(18, 588) = 1764

GCD(18, 588) = ( 18 x 588 ) / 1764

= 18 / 588

= 18


Step3:

LCM(6, 303) = 606

GCD(6, 303) = ( 6 x 303 ) / 606

= 6 / 303

= 6


So, Greatest Common Divisor of 612, 882, 588, 303 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 612, 882, 588, 303

Given numbers are 612, 882, 588, 303
The greatest common divisor of numbers 612, 882, 588, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 882, 588, 303 is 3.

FAQs on GCD of 612, 882, 588, 303 Calculator

1. What is the GCD of 612, 882, 588, 303?

GCD of given numbers 612, 882, 588, 303 is 3


2. How to calculate the greatest common divisor of 612, 882, 588, 303?

We can find the highest common divisor of 612, 882, 588, 303 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 612, 882, 588, 303 i.e 3.


3. How can I use the GCD of 612, 882, 588, 303Calculator?

Out the numbers 612, 882, 588, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.