GCD of 942, 536, 18, 580 Calculator

Given Input numbers are 942, 536, 18, 580

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 942, 536, 18, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 536, 18, 580 is 2.

Therefore, GCD of numbers 942, 536, 18, 580 is 2

Given Input Data is 942, 536, 18, 580

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 536 is 2 x 2 x 2 x 67

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 580 is 2 x 2 x 5 x 29

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, 536) = 252456

GCD(942, 536) = ( 942 x 536 ) / 252456

GCD(942, 536) = 504912 / 252456

GCD(942, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 942, 536, 18, 580 is 2

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1. What is the GCD of 942, 536, 18, 580?

GCD of 942, 536, 18, 580 is 2

2. Where do I get the detailed procedure to find GCD of 942, 536, 18, 580?

You can find a detailed procedure to find GCD of 942, 536, 18, 580 on our page.

3. How to find GCD of 942, 536, 18, 580 on a calculator?

You can find the GCD of 942, 536, 18, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.