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GCD of 600, 802, 366, 842 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, 802, 366, 842 quickly. Get the easiest ways to solve the greatest common divisor of 600, 802, 366, 842 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 802, 366, 842 with Factoring?

Given Input numbers are 600, 802, 366, 842

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (600, 802, 366, 842) = 2.

Find GCD of 600, 802, 366, 842 using Prime Factorization

Given numbers are 600, 802, 366, 842

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 802 are 2 x 401

Prime factors of 366 are 2 x 3 x 61

Prime factors of 842 are 2 x 421

The highest common occurrence is 21

Therefore, GCD of 600, 802, 366, 842 is 2.

Steps to Calculate GCD of 600, 802, 366, 842 using LCM Formula

Given numbers are 600, 802, 366, 842

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

Apply this formula for all numbers.

Step1:

LCM(600, 802) = 240600

GCD(600, 802) = ( 600 x 802 ) / 240600

= 600 / 802

= 600


Step2:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2


Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2


So, Greatest Common Divisor of 600, 802, 366, 842 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 802, 366, 842

Given numbers are 600, 802, 366, 842
The greatest common divisor of numbers 600, 802, 366, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 802, 366, 842 is 2.

FAQs on GCD of 600, 802, 366, 842 Calculator

1. What is the GCD of 600, 802, 366, 842?

GCD of given numbers 600, 802, 366, 842 is 2


2. How to calculate the greatest common divisor of 600, 802, 366, 842?

We can find the highest common divisor of 600, 802, 366, 842 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, 802, 366, 842 i.e 2.


3. How can I use the GCD of 600, 802, 366, 842Calculator?

Out the numbers 600, 802, 366, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.