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, 536, 95, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 536, 95, 595 is 1
GCD(714, 536, 95, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 536, 95, 595 is 1
GCD(714, 536, 95, 595) = 1
Given Input numbers are 714, 536, 95, 595
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 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 714, 536, 95, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 536, 95, 595 is 1.
Therefore, GCD of numbers 714, 536, 95, 595 is 1
Given Input Data is 714, 536, 95, 595
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 536 is 2 x 2 x 2 x 67
Prime Factorization of 95 is 5 x 19
Prime Factorization of 595 is 5 x 7 x 17
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, 536) = 191352
GCD(714, 536) = ( 714 x 536 ) / 191352
GCD(714, 536) = 382704 / 191352
GCD(714, 536) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 714, 536, 95, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 536, 95, 595?
GCD of 714, 536, 95, 595 is 1
2. Where do I get the detailed procedure to find GCD of 714, 536, 95, 595?
You can find a detailed procedure to find GCD of 714, 536, 95, 595 on our page.
3. How to find GCD of 714, 536, 95, 595 on a calculator?
You can find the GCD of 714, 536, 95, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.