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GCD of 600, 990, 640, 276 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, 990, 640, 276 quickly. Get the easiest ways to solve the greatest common divisor of 600, 990, 640, 276 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 990, 640, 276 with Factoring?

Given Input numbers are 600, 990, 640, 276

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 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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276


GCD of numbers is the greatest common divisor

So, the GCD (600, 990, 640, 276) = 2.

Find GCD of 600, 990, 640, 276 using Prime Factorization

Given numbers are 600, 990, 640, 276

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 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 600, 990, 640, 276 is 2.

Steps to Calculate GCD of 600, 990, 640, 276 using LCM Formula

Given numbers are 600, 990, 640, 276

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

Apply this formula for all numbers.

Step1:

LCM(600, 990) = 19800

GCD(600, 990) = ( 600 x 990 ) / 19800

= 600 / 990

= 600


Step2:

LCM(30, 640) = 1920

GCD(30, 640) = ( 30 x 640 ) / 1920

= 30 / 640

= 30


Step3:

LCM(10, 276) = 1380

GCD(10, 276) = ( 10 x 276 ) / 1380

= 10 / 276

= 10


So, Greatest Common Divisor of 600, 990, 640, 276 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 990, 640, 276

Given numbers are 600, 990, 640, 276
The greatest common divisor of numbers 600, 990, 640, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 990, 640, 276 is 2.

FAQs on GCD of 600, 990, 640, 276 Calculator

1. What is the GCD of 600, 990, 640, 276?

GCD of given numbers 600, 990, 640, 276 is 2


2. How to calculate the greatest common divisor of 600, 990, 640, 276?

We can find the highest common divisor of 600, 990, 640, 276 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, 990, 640, 276 i.e 2.


3. How can I use the GCD of 600, 990, 640, 276Calculator?

Out the numbers 600, 990, 640, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.