GCD of 90, 972, 394, 542 Calculator

Given Input numbers are 90, 972, 394, 542

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 90, 972, 394, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 972, 394, 542 is 2.

Therefore, GCD of numbers 90, 972, 394, 542 is 2

Given Input Data is 90, 972, 394, 542

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 394 is 2 x 197

Prime Factorization of 542 is 2 x 271

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(90, 972) = 4860

GCD(90, 972) = ( 90 x 972 ) / 4860

GCD(90, 972) = 87480 / 4860

GCD(90, 972) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 394

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

LCM(18, 394) = 3546

GCD(18, 394) = ( 18 x 394 ) / 3546

GCD(18, 394) = 7092 / 3546

GCD(18, 394) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 90, 972, 394, 542 is 2

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• GCD of 67, 335, 695, 603
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• GCD of 30, 917, 689, 210
• GCD of 82, 518, 204, 288

1. What is the GCD of 90, 972, 394, 542?

GCD of 90, 972, 394, 542 is 2

2. Where do I get the detailed procedure to find GCD of 90, 972, 394, 542?

You can find a detailed procedure to find GCD of 90, 972, 394, 542 on our page.

3. How to find GCD of 90, 972, 394, 542 on a calculator?

You can find the GCD of 90, 972, 394, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.