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 535, 175, 39, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 175, 39, 568 is 1
GCD(535, 175, 39, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 175, 39, 568 is 1
GCD(535, 175, 39, 568) = 1
Given Input numbers are 535, 175, 39, 568
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 535, 175, 39, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 175, 39, 568 is 1.
Therefore, GCD of numbers 535, 175, 39, 568 is 1
Given Input Data is 535, 175, 39, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 39 is 3 x 13
Prime Factorization of 568 is 2 x 2 x 2 x 71
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(535, 175) = 18725
GCD(535, 175) = ( 535 x 175 ) / 18725
GCD(535, 175) = 93625 / 18725
GCD(535, 175) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 39) = 195
GCD(5, 39) = ( 5 x 39 ) / 195
GCD(5, 39) = 195 / 195
GCD(5, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 535, 175, 39, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 175, 39, 568?
GCD of 535, 175, 39, 568 is 1
2. Where do I get the detailed procedure to find GCD of 535, 175, 39, 568?
You can find a detailed procedure to find GCD of 535, 175, 39, 568 on our page.
3. How to find GCD of 535, 175, 39, 568 on a calculator?
You can find the GCD of 535, 175, 39, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.