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, 575, 74, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 575, 74, 625 is 1
GCD(714, 575, 74, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 575, 74, 625 is 1
GCD(714, 575, 74, 625) = 1
Given Input numbers are 714, 575, 74, 625
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 714, 575, 74, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 575, 74, 625 is 1.
Therefore, GCD of numbers 714, 575, 74, 625 is 1
Given Input Data is 714, 575, 74, 625
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 575 is 5 x 5 x 23
Prime Factorization of 74 is 2 x 37
Prime Factorization of 625 is 5 x 5 x 5 x 5
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, 575) = 410550
GCD(714, 575) = ( 714 x 575 ) / 410550
GCD(714, 575) = 410550 / 410550
GCD(714, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 714, 575, 74, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 575, 74, 625?
GCD of 714, 575, 74, 625 is 1
2. Where do I get the detailed procedure to find GCD of 714, 575, 74, 625?
You can find a detailed procedure to find GCD of 714, 575, 74, 625 on our page.
3. How to find GCD of 714, 575, 74, 625 on a calculator?
You can find the GCD of 714, 575, 74, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.