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 714, 186, 63, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 186, 63, 590 is 1
GCD(714, 186, 63, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 186, 63, 590 is 1
GCD(714, 186, 63, 590) = 1
Given Input numbers are 714, 186, 63, 590
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 714, 186, 63, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 186, 63, 590 is 1.
Therefore, GCD of numbers 714, 186, 63, 590 is 1
Given Input Data is 714, 186, 63, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 590 is 2 x 5 x 59
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(714, 186) = 22134
GCD(714, 186) = ( 714 x 186 ) / 22134
GCD(714, 186) = 132804 / 22134
GCD(714, 186) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 63) = 126
GCD(6, 63) = ( 6 x 63 ) / 126
GCD(6, 63) = 378 / 126
GCD(6, 63) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 590) = 1770
GCD(3, 590) = ( 3 x 590 ) / 1770
GCD(3, 590) = 1770 / 1770
GCD(3, 590) = 1
GCD of 714, 186, 63, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 186, 63, 590?
GCD of 714, 186, 63, 590 is 1
2. Where do I get the detailed procedure to find GCD of 714, 186, 63, 590?
You can find a detailed procedure to find GCD of 714, 186, 63, 590 on our page.
3. How to find GCD of 714, 186, 63, 590 on a calculator?
You can find the GCD of 714, 186, 63, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.