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 555, 985, 742, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 985, 742, 652 is 1
GCD(555, 985, 742, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 985, 742, 652 is 1
GCD(555, 985, 742, 652) = 1
Given Input numbers are 555, 985, 742, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 555, 985, 742, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 985, 742, 652 is 1.
Therefore, GCD of numbers 555, 985, 742, 652 is 1
Given Input Data is 555, 985, 742, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 985 is 5 x 197
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 652 is 2 x 2 x 163
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(555, 985) = 109335
GCD(555, 985) = ( 555 x 985 ) / 109335
GCD(555, 985) = 546675 / 109335
GCD(555, 985) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 742) = 3710
GCD(5, 742) = ( 5 x 742 ) / 3710
GCD(5, 742) = 3710 / 3710
GCD(5, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 555, 985, 742, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 985, 742, 652?
GCD of 555, 985, 742, 652 is 1
2. Where do I get the detailed procedure to find GCD of 555, 985, 742, 652?
You can find a detailed procedure to find GCD of 555, 985, 742, 652 on our page.
3. How to find GCD of 555, 985, 742, 652 on a calculator?
You can find the GCD of 555, 985, 742, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.