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 35, 695, 532, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 695, 532, 799 is 1
GCD(35, 695, 532, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 695, 532, 799 is 1
GCD(35, 695, 532, 799) = 1
Given Input numbers are 35, 695, 532, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 35, 695, 532, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 695, 532, 799 is 1.
Therefore, GCD of numbers 35, 695, 532, 799 is 1
Given Input Data is 35, 695, 532, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 695 is 5 x 139
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 799 is 17 x 47
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(35, 695) = 4865
GCD(35, 695) = ( 35 x 695 ) / 4865
GCD(35, 695) = 24325 / 4865
GCD(35, 695) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 532) = 2660
GCD(5, 532) = ( 5 x 532 ) / 2660
GCD(5, 532) = 2660 / 2660
GCD(5, 532) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 35, 695, 532, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 695, 532, 799?
GCD of 35, 695, 532, 799 is 1
2. Where do I get the detailed procedure to find GCD of 35, 695, 532, 799?
You can find a detailed procedure to find GCD of 35, 695, 532, 799 on our page.
3. How to find GCD of 35, 695, 532, 799 on a calculator?
You can find the GCD of 35, 695, 532, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.