GCD of 372, 112, 38, 753 Calculator

Given Input numbers are 372, 112, 38, 753

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 372, 112, 38, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 112, 38, 753 is 1.

Therefore, GCD of numbers 372, 112, 38, 753 is 1

Given Input Data is 372, 112, 38, 753

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 753 is 3 x 251

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(372, 112) = 10416

GCD(372, 112) = ( 372 x 112 ) / 10416

GCD(372, 112) = 41664 / 10416

GCD(372, 112) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

GCD of 372, 112, 38, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 836, 14, 861
• GCD of 252, 160, 93, 242
• GCD of 563, 444, 19, 413
• GCD of 919, 604, 80, 794
• GCD of 242, 711, 48, 527

1. What is the GCD of 372, 112, 38, 753?

GCD of 372, 112, 38, 753 is 1

2. Where do I get the detailed procedure to find GCD of 372, 112, 38, 753?

You can find a detailed procedure to find GCD of 372, 112, 38, 753 on our page.

3. How to find GCD of 372, 112, 38, 753 on a calculator?

You can find the GCD of 372, 112, 38, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.