GCD of 692, 125, 44, 112 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 692, 125, 44, 112 i.e. 1 largest integer that divides all the numbers equally.

GCD of 692, 125, 44, 112 is 1

GCD(692, 125, 44, 112) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 692, 125, 44, 112 is 1

GCD(692, 125, 44, 112) = 1

GCD of 692,125,44,112 Calculator

GCDof 692,125,44,112 is 1

Given Input numbers are 692, 125, 44, 112

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 692, 125, 44, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 125, 44, 112 is 1.

Therefore, GCD of numbers 692, 125, 44, 112 is 1

Finding GCD of 692, 125, 44, 112 using Prime Factorization

Given Input Data is 692, 125, 44, 112

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 44 is 2 x 2 x 11

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

Finding GCD of 692, 125, 44, 112 using LCM Formula

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(692, 125) = 86500

GCD(692, 125) = ( 692 x 125 ) / 86500

GCD(692, 125) = 86500 / 86500

GCD(692, 125) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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 692, 125, 44, 112 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 692, 125, 44, 112

1. What is the GCD of 692, 125, 44, 112?

GCD of 692, 125, 44, 112 is 1


2. Where do I get the detailed procedure to find GCD of 692, 125, 44, 112?

You can find a detailed procedure to find GCD of 692, 125, 44, 112 on our page.


3. How to find GCD of 692, 125, 44, 112 on a calculator?

You can find the GCD of 692, 125, 44, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.