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, 300, 91, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 300, 91, 196 is 1
GCD(973, 300, 91, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 300, 91, 196 is 1
GCD(973, 300, 91, 196) = 1
Given Input numbers are 973, 300, 91, 196
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
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
Greatest Common Divisior
We found the divisors of 973, 300, 91, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 300, 91, 196 is 1.
Therefore, GCD of numbers 973, 300, 91, 196 is 1
Given Input Data is 973, 300, 91, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 91 is 7 x 13
Prime Factorization of 196 is 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
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, 300) = 291900
GCD(973, 300) = ( 973 x 300 ) / 291900
GCD(973, 300) = 291900 / 291900
GCD(973, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 973, 300, 91, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 300, 91, 196?
GCD of 973, 300, 91, 196 is 1
2. Where do I get the detailed procedure to find GCD of 973, 300, 91, 196?
You can find a detailed procedure to find GCD of 973, 300, 91, 196 on our page.
3. How to find GCD of 973, 300, 91, 196 on a calculator?
You can find the GCD of 973, 300, 91, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.