GCD of 600, 742, 212, 444 Calculator

Given Input numbers are 600, 742, 212, 444

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 600, 742, 212, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 742, 212, 444 is 2.

Therefore, GCD of numbers 600, 742, 212, 444 is 2

Given Input Data is 600, 742, 212, 444

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(600, 742) = 222600

GCD(600, 742) = ( 600 x 742 ) / 222600

GCD(600, 742) = 445200 / 222600

GCD(600, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 444

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

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

GCD(2, 444) = 888 / 444

GCD(2, 444) = 2

GCD of 600, 742, 212, 444 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 653, 879, 308
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• GCD of 442, 226, 922, 743

1. What is the GCD of 600, 742, 212, 444?

GCD of 600, 742, 212, 444 is 2

2. Where do I get the detailed procedure to find GCD of 600, 742, 212, 444?

You can find a detailed procedure to find GCD of 600, 742, 212, 444 on our page.

3. How to find GCD of 600, 742, 212, 444 on a calculator?

You can find the GCD of 600, 742, 212, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.