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 715, 858, 63, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 858, 63, 241 is 1
GCD(715, 858, 63, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 858, 63, 241 is 1
GCD(715, 858, 63, 241) = 1
Given Input numbers are 715, 858, 63, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 715, 858, 63, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 858, 63, 241 is 1.
Therefore, GCD of numbers 715, 858, 63, 241 is 1
Given Input Data is 715, 858, 63, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 241 is 241
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(715, 858) = 4290
GCD(715, 858) = ( 715 x 858 ) / 4290
GCD(715, 858) = 613470 / 4290
GCD(715, 858) = 143
Step2:
Here we consider the GCD from the above i.e. 143 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(143, 63) = 9009
GCD(143, 63) = ( 143 x 63 ) / 9009
GCD(143, 63) = 9009 / 9009
GCD(143, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 715, 858, 63, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 858, 63, 241?
GCD of 715, 858, 63, 241 is 1
2. Where do I get the detailed procedure to find GCD of 715, 858, 63, 241?
You can find a detailed procedure to find GCD of 715, 858, 63, 241 on our page.
3. How to find GCD of 715, 858, 63, 241 on a calculator?
You can find the GCD of 715, 858, 63, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.