GCD of 755, 371, 984, 103 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 755, 371, 984, 103 i.e. 1 largest integer that divides all the numbers equally.

GCD of 755, 371, 984, 103 is 1

GCD(755, 371, 984, 103) = 1

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

GCD of

GCD of numbers 755, 371, 984, 103 is 1

GCD(755, 371, 984, 103) = 1

GCD of 755,371,984,103 Calculator

GCDof 755,371,984,103 is 1

Given Input numbers are 755, 371, 984, 103

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 755, 371, 984, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 371, 984, 103 is 1.

Therefore, GCD of numbers 755, 371, 984, 103 is 1

Finding GCD of 755, 371, 984, 103 using Prime Factorization

Given Input Data is 755, 371, 984, 103

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 371 is 7 x 53

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 103 is 103

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

Finding GCD of 755, 371, 984, 103 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(755, 371) = 280105

GCD(755, 371) = ( 755 x 371 ) / 280105

GCD(755, 371) = 280105 / 280105

GCD(755, 371) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 755, 371, 984, 103 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 755, 371, 984, 103

1. What is the GCD of 755, 371, 984, 103?

GCD of 755, 371, 984, 103 is 1


2. Where do I get the detailed procedure to find GCD of 755, 371, 984, 103?

You can find a detailed procedure to find GCD of 755, 371, 984, 103 on our page.


3. How to find GCD of 755, 371, 984, 103 on a calculator?

You can find the GCD of 755, 371, 984, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.