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, 245, 63, 721 i.e. 7 largest integer that divides all the numbers equally.
GCD of 721, 245, 63, 721 is 7
GCD(721, 245, 63, 721) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 245, 63, 721 is 7
GCD(721, 245, 63, 721) = 7
Given Input numbers are 721, 245, 63, 721
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 721, 245, 63, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 245, 63, 721 is 7.
Therefore, GCD of numbers 721, 245, 63, 721 is 7
Given Input Data is 721, 245, 63, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 721 is 7 x 103
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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, 245) = 25235
GCD(721, 245) = ( 721 x 245 ) / 25235
GCD(721, 245) = 176645 / 25235
GCD(721, 245) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 63) = 63
GCD(7, 63) = ( 7 x 63 ) / 63
GCD(7, 63) = 441 / 63
GCD(7, 63) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 721) = 721
GCD(7, 721) = ( 7 x 721 ) / 721
GCD(7, 721) = 5047 / 721
GCD(7, 721) = 7
GCD of 721, 245, 63, 721 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 245, 63, 721?
GCD of 721, 245, 63, 721 is 7
2. Where do I get the detailed procedure to find GCD of 721, 245, 63, 721?
You can find a detailed procedure to find GCD of 721, 245, 63, 721 on our page.
3. How to find GCD of 721, 245, 63, 721 on a calculator?
You can find the GCD of 721, 245, 63, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.