GCD of 942, 450, 50, 524 Calculator

Given Input numbers are 942, 450, 50, 524

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

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 942, 450, 50, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 450, 50, 524 is 2.

Therefore, GCD of numbers 942, 450, 50, 524 is 2

Given Input Data is 942, 450, 50, 524

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 524 is 2 x 2 x 131

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(942, 450) = 70650

GCD(942, 450) = ( 942 x 450 ) / 70650

GCD(942, 450) = 423900 / 70650

GCD(942, 450) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 50

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

LCM(6, 50) = 150

GCD(6, 50) = ( 6 x 50 ) / 150

GCD(6, 50) = 300 / 150

GCD(6, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 942, 450, 50, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 851, 17, 873
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• GCD of 734, 243, 51, 715

1. What is the GCD of 942, 450, 50, 524?

GCD of 942, 450, 50, 524 is 2

2. Where do I get the detailed procedure to find GCD of 942, 450, 50, 524?

You can find a detailed procedure to find GCD of 942, 450, 50, 524 on our page.

3. How to find GCD of 942, 450, 50, 524 on a calculator?

You can find the GCD of 942, 450, 50, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.