GCD of 418, 938, 572, 992 Calculator

Given Input numbers are 418, 938, 572, 992

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 418, 938, 572, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 938, 572, 992 is 2.

Therefore, GCD of numbers 418, 938, 572, 992 is 2

Given Input Data is 418, 938, 572, 992

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(418, 938) = 196042

GCD(418, 938) = ( 418 x 938 ) / 196042

GCD(418, 938) = 392084 / 196042

GCD(418, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 418, 938, 572, 992 is 2

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1. What is the GCD of 418, 938, 572, 992?

GCD of 418, 938, 572, 992 is 2

2. Where do I get the detailed procedure to find GCD of 418, 938, 572, 992?

You can find a detailed procedure to find GCD of 418, 938, 572, 992 on our page.

3. How to find GCD of 418, 938, 572, 992 on a calculator?

You can find the GCD of 418, 938, 572, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.