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GCD of 372, 112, 903, 345 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 372, 112, 903, 345 quickly. Get the easiest ways to solve the greatest common divisor of 372, 112, 903, 345 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 372, 112, 903, 345 with Factoring?

Given Input numbers are 372, 112, 903, 345

In the factoring method, we have to find the divisors of all numbers

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345


GCD of numbers is the greatest common divisor

So, the GCD (372, 112, 903, 345) = 1.

Find GCD of 372, 112, 903, 345 using Prime Factorization

Given numbers are 372, 112, 903, 345

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 903 are 3 x 7 x 43

Prime factors of 345 are 3 x 5 x 23

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

Steps to Calculate GCD of 372, 112, 903, 345 using LCM Formula

Given numbers are 372, 112, 903, 345

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(372, 112) = 10416

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

= 372 / 112

= 372


Step2:

LCM(4, 903) = 3612

GCD(4, 903) = ( 4 x 903 ) / 3612

= 4 / 903

= 4


Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1


So, Greatest Common Divisor of 372, 112, 903, 345 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 372, 112, 903, 345

Given numbers are 372, 112, 903, 345
The greatest common divisor of numbers 372, 112, 903, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 112, 903, 345 is 1.

FAQs on GCD of 372, 112, 903, 345 Calculator

1. What is the GCD of 372, 112, 903, 345?

GCD of given numbers 372, 112, 903, 345 is 1


2. How to calculate the greatest common divisor of 372, 112, 903, 345?

We can find the highest common divisor of 372, 112, 903, 345 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 372, 112, 903, 345 i.e 1.


3. How can I use the GCD of 372, 112, 903, 345Calculator?

Out the numbers 372, 112, 903, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.