GCD of 104, 966, 837, 125 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 104, 966, 837, 125 i.e. 1 largest integer that divides all the numbers equally.

GCD of 104, 966, 837, 125 is 1

GCD(104, 966, 837, 125) = 1

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

GCD of

GCD of numbers 104, 966, 837, 125 is 1

GCD(104, 966, 837, 125) = 1

GCD of 104,966,837,125 Calculator

GCDof 104,966,837,125 is 1

Given Input numbers are 104, 966, 837, 125

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 125

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

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 104, 966, 837, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 966, 837, 125 is 1.

Therefore, GCD of numbers 104, 966, 837, 125 is 1

Finding GCD of 104, 966, 837, 125 using Prime Factorization

Given Input Data is 104, 966, 837, 125

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 125 is 5 x 5 x 5

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

Finding GCD of 104, 966, 837, 125 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(104, 966) = 50232

GCD(104, 966) = ( 104 x 966 ) / 50232

GCD(104, 966) = 100464 / 50232

GCD(104, 966) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 837

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

LCM(2, 837) = 1674

GCD(2, 837) = ( 2 x 837 ) / 1674

GCD(2, 837) = 1674 / 1674

GCD(2, 837) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 104, 966, 837, 125 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 966, 837, 125

1. What is the GCD of 104, 966, 837, 125?

GCD of 104, 966, 837, 125 is 1


2. Where do I get the detailed procedure to find GCD of 104, 966, 837, 125?

You can find a detailed procedure to find GCD of 104, 966, 837, 125 on our page.


3. How to find GCD of 104, 966, 837, 125 on a calculator?

You can find the GCD of 104, 966, 837, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.