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GCD of 268, 664, 604, 600 Calculator

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


Online GCD Calculator is useful to find the GCD of 268, 664, 604, 600 quickly. Get the easiest ways to solve the greatest common divisor of 268, 664, 604, 600 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 268, 664, 604, 600 with Factoring?

Given Input numbers are 268, 664, 604, 600

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

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


GCD of numbers is the greatest common divisor

So, the GCD (268, 664, 604, 600) = 4.

Find GCD of 268, 664, 604, 600 using Prime Factorization

Given numbers are 268, 664, 604, 600

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 604 are 2 x 2 x 151

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

The highest common occurrence is 22

Therefore, GCD of 268, 664, 604, 600 is 4.

Steps to Calculate GCD of 268, 664, 604, 600 using LCM Formula

Given numbers are 268, 664, 604, 600

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

Apply this formula for all numbers.

Step1:

LCM(268, 664) = 44488

GCD(268, 664) = ( 268 x 664 ) / 44488

= 268 / 664

= 268


Step2:

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

= 4 / 604

= 4


Step3:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4


So, Greatest Common Divisor of 268, 664, 604, 600 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 268, 664, 604, 600

Given numbers are 268, 664, 604, 600
The greatest common divisor of numbers 268, 664, 604, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 664, 604, 600 is 4.

FAQs on GCD of 268, 664, 604, 600 Calculator

1. What is the GCD of 268, 664, 604, 600?

GCD of given numbers 268, 664, 604, 600 is 4


2. How to calculate the greatest common divisor of 268, 664, 604, 600?

We can find the highest common divisor of 268, 664, 604, 600 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 268, 664, 604, 600 i.e 4.


3. How can I use the GCD of 268, 664, 604, 600Calculator?

Out the numbers 268, 664, 604, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.