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GCD of 600, 842, 418, 466 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, 842, 418, 466 quickly. Get the easiest ways to solve the greatest common divisor of 600, 842, 418, 466 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 842, 418, 466 with Factoring?

Given Input numbers are 600, 842, 418, 466

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 842 :

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

1, 2, 421, 842

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466


GCD of numbers is the greatest common divisor

So, the GCD (600, 842, 418, 466) = 2.

Find GCD of 600, 842, 418, 466 using Prime Factorization

Given numbers are 600, 842, 418, 466

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 842 are 2 x 421

Prime factors of 418 are 2 x 11 x 19

Prime factors of 466 are 2 x 233

The highest common occurrence is 21

Therefore, GCD of 600, 842, 418, 466 is 2.

Steps to Calculate GCD of 600, 842, 418, 466 using LCM Formula

Given numbers are 600, 842, 418, 466

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

Apply this formula for all numbers.

Step1:

LCM(600, 842) = 252600

GCD(600, 842) = ( 600 x 842 ) / 252600

= 600 / 842

= 600


Step2:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2


Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2


So, Greatest Common Divisor of 600, 842, 418, 466 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 842, 418, 466

Given numbers are 600, 842, 418, 466
The greatest common divisor of numbers 600, 842, 418, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 842, 418, 466 is 2.

FAQs on GCD of 600, 842, 418, 466 Calculator

1. What is the GCD of 600, 842, 418, 466?

GCD of given numbers 600, 842, 418, 466 is 2


2. How to calculate the greatest common divisor of 600, 842, 418, 466?

We can find the highest common divisor of 600, 842, 418, 466 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, 842, 418, 466 i.e 2.


3. How can I use the GCD of 600, 842, 418, 466Calculator?

Out the numbers 600, 842, 418, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.