GCD of 975, 118, 38, 112 Calculator

Given Input numbers are 975, 118, 38, 112

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 975, 118, 38, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 118, 38, 112 is 1.

Therefore, GCD of numbers 975, 118, 38, 112 is 1

Given Input Data is 975, 118, 38, 112

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 118 is 2 x 59

Prime Factorization of 38 is 2 x 19

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(975, 118) = 115050

GCD(975, 118) = ( 975 x 118 ) / 115050

GCD(975, 118) = 115050 / 115050

GCD(975, 118) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 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 975, 118, 38, 112 is 1

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• GCD of 923, 419, 22, 528
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1. What is the GCD of 975, 118, 38, 112?

GCD of 975, 118, 38, 112 is 1

2. Where do I get the detailed procedure to find GCD of 975, 118, 38, 112?

You can find a detailed procedure to find GCD of 975, 118, 38, 112 on our page.

3. How to find GCD of 975, 118, 38, 112 on a calculator?

You can find the GCD of 975, 118, 38, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.