GCD of 388, 694, 78, 974 Calculator

Given Input numbers are 388, 694, 78, 974

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 388, 694, 78, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 694, 78, 974 is 2.

Therefore, GCD of numbers 388, 694, 78, 974 is 2

Given Input Data is 388, 694, 78, 974

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 694 is 2 x 347

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 974 is 2 x 487

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(388, 694) = 134636

GCD(388, 694) = ( 388 x 694 ) / 134636

GCD(388, 694) = 269272 / 134636

GCD(388, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 388, 694, 78, 974 is 2

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1. What is the GCD of 388, 694, 78, 974?

GCD of 388, 694, 78, 974 is 2

2. Where do I get the detailed procedure to find GCD of 388, 694, 78, 974?

You can find a detailed procedure to find GCD of 388, 694, 78, 974 on our page.

3. How to find GCD of 388, 694, 78, 974 on a calculator?

You can find the GCD of 388, 694, 78, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.