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GCD of 600, 236, 370, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 236, 370, 990 quickly. Get the easiest ways to solve the greatest common divisor of 600, 236, 370, 990 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 236, 370, 990 with Factoring?

Given Input numbers are 600, 236, 370, 990

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990


GCD of numbers is the greatest common divisor

So, the GCD (600, 236, 370, 990) = 2.

Find GCD of 600, 236, 370, 990 using Prime Factorization

Given numbers are 600, 236, 370, 990

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 236 are 2 x 2 x 59

Prime factors of 370 are 2 x 5 x 37

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 600, 236, 370, 990 is 2.

Steps to Calculate GCD of 600, 236, 370, 990 using LCM Formula

Given numbers are 600, 236, 370, 990

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

Apply this formula for all numbers.

Step1:

LCM(600, 236) = 35400

GCD(600, 236) = ( 600 x 236 ) / 35400

= 600 / 236

= 600


Step2:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4


Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2


So, Greatest Common Divisor of 600, 236, 370, 990 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 236, 370, 990

Given numbers are 600, 236, 370, 990
The greatest common divisor of numbers 600, 236, 370, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 236, 370, 990 is 2.

FAQs on GCD of 600, 236, 370, 990 Calculator

1. What is the GCD of 600, 236, 370, 990?

GCD of given numbers 600, 236, 370, 990 is 2


2. How to calculate the greatest common divisor of 600, 236, 370, 990?

We can find the highest common divisor of 600, 236, 370, 990 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 600, 236, 370, 990 i.e 2.


3. How can I use the GCD of 600, 236, 370, 990Calculator?

Out the numbers 600, 236, 370, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.