GCD of 940, 398, 117, 112 Calculator

Given Input numbers are 940, 398, 117, 112

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 940, 398, 117, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 398, 117, 112 is 1.

Therefore, GCD of numbers 940, 398, 117, 112 is 1

Given Input Data is 940, 398, 117, 112

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 398 is 2 x 199

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(940, 398) = 187060

GCD(940, 398) = ( 940 x 398 ) / 187060

GCD(940, 398) = 374120 / 187060

GCD(940, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 940, 398, 117, 112 is 1

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1. What is the GCD of 940, 398, 117, 112?

GCD of 940, 398, 117, 112 is 1

2. Where do I get the detailed procedure to find GCD of 940, 398, 117, 112?

You can find a detailed procedure to find GCD of 940, 398, 117, 112 on our page.

3. How to find GCD of 940, 398, 117, 112 on a calculator?

You can find the GCD of 940, 398, 117, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.