GCD of 938, 470, 994, 364 Calculator

Given Input numbers are 938, 470, 994, 364

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

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 938, 470, 994, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 470, 994, 364 is 2.

Therefore, GCD of numbers 938, 470, 994, 364 is 2

Given Input Data is 938, 470, 994, 364

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(938, 470) = 220430

GCD(938, 470) = ( 938 x 470 ) / 220430

GCD(938, 470) = 440860 / 220430

GCD(938, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 938, 470, 994, 364 is 2

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1. What is the GCD of 938, 470, 994, 364?

GCD of 938, 470, 994, 364 is 2

2. Where do I get the detailed procedure to find GCD of 938, 470, 994, 364?

You can find a detailed procedure to find GCD of 938, 470, 994, 364 on our page.

3. How to find GCD of 938, 470, 994, 364 on a calculator?

You can find the GCD of 938, 470, 994, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.