GCD of 976, 196, 73, 755 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 976, 196, 73, 755 i.e. 1 largest integer that divides all the numbers equally.

GCD of 976, 196, 73, 755 is 1

GCD(976, 196, 73, 755) = 1

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

GCD of

GCD of numbers 976, 196, 73, 755 is 1

GCD(976, 196, 73, 755) = 1

GCD of 976,196,73,755 Calculator

GCDof 976,196,73,755 is 1

Given Input numbers are 976, 196, 73, 755

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 755

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

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 976, 196, 73, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 196, 73, 755 is 1.

Therefore, GCD of numbers 976, 196, 73, 755 is 1

Finding GCD of 976, 196, 73, 755 using Prime Factorization

Given Input Data is 976, 196, 73, 755

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 73 is 73

Prime Factorization of 755 is 5 x 151

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

Finding GCD of 976, 196, 73, 755 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(976, 196) = 47824

GCD(976, 196) = ( 976 x 196 ) / 47824

GCD(976, 196) = 191296 / 47824

GCD(976, 196) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 73

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

LCM(4, 73) = 292

GCD(4, 73) = ( 4 x 73 ) / 292

GCD(4, 73) = 292 / 292

GCD(4, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 976, 196, 73, 755 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 976, 196, 73, 755

1. What is the GCD of 976, 196, 73, 755?

GCD of 976, 196, 73, 755 is 1


2. Where do I get the detailed procedure to find GCD of 976, 196, 73, 755?

You can find a detailed procedure to find GCD of 976, 196, 73, 755 on our page.


3. How to find GCD of 976, 196, 73, 755 on a calculator?

You can find the GCD of 976, 196, 73, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.