GCD of 938, 752, 568, 104 Calculator

Given Input numbers are 938, 752, 568, 104

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 938, 752, 568, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 752, 568, 104 is 2.

Therefore, GCD of numbers 938, 752, 568, 104 is 2

Given Input Data is 938, 752, 568, 104

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 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 104 is 2 x 2 x 2 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, 752) = 352688

GCD(938, 752) = ( 938 x 752 ) / 352688

GCD(938, 752) = 705376 / 352688

GCD(938, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 938, 752, 568, 104 is 2

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1. What is the GCD of 938, 752, 568, 104?

GCD of 938, 752, 568, 104 is 2

2. Where do I get the detailed procedure to find GCD of 938, 752, 568, 104?

You can find a detailed procedure to find GCD of 938, 752, 568, 104 on our page.

3. How to find GCD of 938, 752, 568, 104 on a calculator?

You can find the GCD of 938, 752, 568, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.