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 625, 614, 542, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 614, 542, 601 is 1
GCD(625, 614, 542, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 614, 542, 601 is 1
GCD(625, 614, 542, 601) = 1
Given Input numbers are 625, 614, 542, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 625, 614, 542, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 614, 542, 601 is 1.
Therefore, GCD of numbers 625, 614, 542, 601 is 1
Given Input Data is 625, 614, 542, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 614 is 2 x 307
Prime Factorization of 542 is 2 x 271
Prime Factorization of 601 is 601
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(625, 614) = 383750
GCD(625, 614) = ( 625 x 614 ) / 383750
GCD(625, 614) = 383750 / 383750
GCD(625, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 625, 614, 542, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 614, 542, 601?
GCD of 625, 614, 542, 601 is 1
2. Where do I get the detailed procedure to find GCD of 625, 614, 542, 601?
You can find a detailed procedure to find GCD of 625, 614, 542, 601 on our page.
3. How to find GCD of 625, 614, 542, 601 on a calculator?
You can find the GCD of 625, 614, 542, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.