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GCD of 288, 930, 588, 690 Calculator

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


Online GCD Calculator is useful to find the GCD of 288, 930, 588, 690 quickly. Get the easiest ways to solve the greatest common divisor of 288, 930, 588, 690 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 288, 930, 588, 690 with Factoring?

Given Input numbers are 288, 930, 588, 690

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (288, 930, 588, 690) = 6.

Find GCD of 288, 930, 588, 690 using Prime Factorization

Given numbers are 288, 930, 588, 690

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 930 are 2 x 3 x 5 x 31

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

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 21 x 31

Therefore, GCD of 288, 930, 588, 690 is 6.

Steps to Calculate GCD of 288, 930, 588, 690 using LCM Formula

Given numbers are 288, 930, 588, 690

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

Apply this formula for all numbers.

Step1:

LCM(288, 930) = 44640

GCD(288, 930) = ( 288 x 930 ) / 44640

= 288 / 930

= 288


Step2:

LCM(6, 588) = 588

GCD(6, 588) = ( 6 x 588 ) / 588

= 6 / 588

= 6


Step3:

LCM(6, 690) = 690

GCD(6, 690) = ( 6 x 690 ) / 690

= 6 / 690

= 6


So, Greatest Common Divisor of 288, 930, 588, 690 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 288, 930, 588, 690

Given numbers are 288, 930, 588, 690
The greatest common divisor of numbers 288, 930, 588, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 930, 588, 690 is 6.

FAQs on GCD of 288, 930, 588, 690 Calculator

1. What is the GCD of 288, 930, 588, 690?

GCD of given numbers 288, 930, 588, 690 is 6


2. How to calculate the greatest common divisor of 288, 930, 588, 690?

We can find the highest common divisor of 288, 930, 588, 690 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 288, 930, 588, 690 i.e 6.


3. How can I use the GCD of 288, 930, 588, 690Calculator?

Out the numbers 288, 930, 588, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.