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 195, 721, 87, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 721, 87, 658 is 1
GCD(195, 721, 87, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 721, 87, 658 is 1
GCD(195, 721, 87, 658) = 1
Given Input numbers are 195, 721, 87, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 195, 721, 87, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 721, 87, 658 is 1.
Therefore, GCD of numbers 195, 721, 87, 658 is 1
Given Input Data is 195, 721, 87, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 721 is 7 x 103
Prime Factorization of 87 is 3 x 29
Prime Factorization of 658 is 2 x 7 x 47
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(195, 721) = 140595
GCD(195, 721) = ( 195 x 721 ) / 140595
GCD(195, 721) = 140595 / 140595
GCD(195, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 195, 721, 87, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 721, 87, 658?
GCD of 195, 721, 87, 658 is 1
2. Where do I get the detailed procedure to find GCD of 195, 721, 87, 658?
You can find a detailed procedure to find GCD of 195, 721, 87, 658 on our page.
3. How to find GCD of 195, 721, 87, 658 on a calculator?
You can find the GCD of 195, 721, 87, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.