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 721, 634, 97, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 634, 97, 850 is 1
GCD(721, 634, 97, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 634, 97, 850 is 1
GCD(721, 634, 97, 850) = 1
Given Input numbers are 721, 634, 97, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 721, 634, 97, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 634, 97, 850 is 1.
Therefore, GCD of numbers 721, 634, 97, 850 is 1
Given Input Data is 721, 634, 97, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 634 is 2 x 317
Prime Factorization of 97 is 97
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(721, 634) = 457114
GCD(721, 634) = ( 721 x 634 ) / 457114
GCD(721, 634) = 457114 / 457114
GCD(721, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 721, 634, 97, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 634, 97, 850?
GCD of 721, 634, 97, 850 is 1
2. Where do I get the detailed procedure to find GCD of 721, 634, 97, 850?
You can find a detailed procedure to find GCD of 721, 634, 97, 850 on our page.
3. How to find GCD of 721, 634, 97, 850 on a calculator?
You can find the GCD of 721, 634, 97, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.