GCD of 973, 649, 98, 164 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 973, 649, 98, 164 i.e. 1 largest integer that divides all the numbers equally.

GCD of 973, 649, 98, 164 is 1

GCD(973, 649, 98, 164) = 1

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

GCD of

GCD of numbers 973, 649, 98, 164 is 1

GCD(973, 649, 98, 164) = 1

GCD of 973,649,98,164 Calculator

GCDof 973,649,98,164 is 1

Given Input numbers are 973, 649, 98, 164

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 973, 649, 98, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 649, 98, 164 is 1.

Therefore, GCD of numbers 973, 649, 98, 164 is 1

Finding GCD of 973, 649, 98, 164 using Prime Factorization

Given Input Data is 973, 649, 98, 164

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 649 is 11 x 59

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 164 is 2 x 2 x 41

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

Finding GCD of 973, 649, 98, 164 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(973, 649) = 631477

GCD(973, 649) = ( 973 x 649 ) / 631477

GCD(973, 649) = 631477 / 631477

GCD(973, 649) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 973, 649, 98, 164 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 973, 649, 98, 164

1. What is the GCD of 973, 649, 98, 164?

GCD of 973, 649, 98, 164 is 1


2. Where do I get the detailed procedure to find GCD of 973, 649, 98, 164?

You can find a detailed procedure to find GCD of 973, 649, 98, 164 on our page.


3. How to find GCD of 973, 649, 98, 164 on a calculator?

You can find the GCD of 973, 649, 98, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.