GCD of 78, 938, 722, 194 Calculator

Given Input numbers are 78, 938, 722, 194

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

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 938

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

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 78, 938, 722, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 938, 722, 194 is 2.

Therefore, GCD of numbers 78, 938, 722, 194 is 2

Given Input Data is 78, 938, 722, 194

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 194 is 2 x 97

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(78, 938) = 36582

GCD(78, 938) = ( 78 x 938 ) / 36582

GCD(78, 938) = 73164 / 36582

GCD(78, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 78, 938, 722, 194 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 757, 183, 782
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• GCD of 38, 762, 219, 528
• GCD of 11, 225, 251, 661

1. What is the GCD of 78, 938, 722, 194?

GCD of 78, 938, 722, 194 is 2

2. Where do I get the detailed procedure to find GCD of 78, 938, 722, 194?

You can find a detailed procedure to find GCD of 78, 938, 722, 194 on our page.

3. How to find GCD of 78, 938, 722, 194 on a calculator?

You can find the GCD of 78, 938, 722, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.