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, 325, 84, 282 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 325, 84, 282 is 1
GCD(715, 325, 84, 282) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 325, 84, 282 is 1
GCD(715, 325, 84, 282) = 1
Given Input numbers are 715, 325, 84, 282
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 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Greatest Common Divisior
We found the divisors of 715, 325, 84, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 325, 84, 282 is 1.
Therefore, GCD of numbers 715, 325, 84, 282 is 1
Given Input Data is 715, 325, 84, 282
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 325 is 5 x 5 x 13
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 282 is 2 x 3 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(715, 325) = 3575
GCD(715, 325) = ( 715 x 325 ) / 3575
GCD(715, 325) = 232375 / 3575
GCD(715, 325) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 84) = 5460
GCD(65, 84) = ( 65 x 84 ) / 5460
GCD(65, 84) = 5460 / 5460
GCD(65, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 282) = 282
GCD(1, 282) = ( 1 x 282 ) / 282
GCD(1, 282) = 282 / 282
GCD(1, 282) = 1
GCD of 715, 325, 84, 282 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 325, 84, 282?
GCD of 715, 325, 84, 282 is 1
2. Where do I get the detailed procedure to find GCD of 715, 325, 84, 282?
You can find a detailed procedure to find GCD of 715, 325, 84, 282 on our page.
3. How to find GCD of 715, 325, 84, 282 on a calculator?
You can find the GCD of 715, 325, 84, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.