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, 892, 99, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 892, 99, 736 is 1
GCD(721, 892, 99, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 892, 99, 736 is 1
GCD(721, 892, 99, 736) = 1
Given Input numbers are 721, 892, 99, 736
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 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 721, 892, 99, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 892, 99, 736 is 1.
Therefore, GCD of numbers 721, 892, 99, 736 is 1
Given Input Data is 721, 892, 99, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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, 892) = 643132
GCD(721, 892) = ( 721 x 892 ) / 643132
GCD(721, 892) = 643132 / 643132
GCD(721, 892) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 721, 892, 99, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 892, 99, 736?
GCD of 721, 892, 99, 736 is 1
2. Where do I get the detailed procedure to find GCD of 721, 892, 99, 736?
You can find a detailed procedure to find GCD of 721, 892, 99, 736 on our page.
3. How to find GCD of 721, 892, 99, 736 on a calculator?
You can find the GCD of 721, 892, 99, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.