GCD of 213, 942, 40, 600 Calculator

Given Input numbers are 213, 942, 40, 600

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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

Greatest Common Divisior

We found the divisors of 213, 942, 40, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 942, 40, 600 is 1.

Therefore, GCD of numbers 213, 942, 40, 600 is 1

Given Input Data is 213, 942, 40, 600

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

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(213, 942) = 66882

GCD(213, 942) = ( 213 x 942 ) / 66882

GCD(213, 942) = 200646 / 66882

GCD(213, 942) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 213, 942, 40, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 876, 18, 640
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• GCD of 331, 279, 31, 787
• GCD of 533, 289, 53, 398

1. What is the GCD of 213, 942, 40, 600?

GCD of 213, 942, 40, 600 is 1

2. Where do I get the detailed procedure to find GCD of 213, 942, 40, 600?

You can find a detailed procedure to find GCD of 213, 942, 40, 600 on our page.

3. How to find GCD of 213, 942, 40, 600 on a calculator?

You can find the GCD of 213, 942, 40, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.