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, 408, 772, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 408, 772, 859 is 1
GCD(35, 408, 772, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 408, 772, 859 is 1
GCD(35, 408, 772, 859) = 1
Given Input numbers are 35, 408, 772, 859
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 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 35, 408, 772, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 408, 772, 859 is 1.
Therefore, GCD of numbers 35, 408, 772, 859 is 1
Given Input Data is 35, 408, 772, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 859 is 859
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, 408) = 14280
GCD(35, 408) = ( 35 x 408 ) / 14280
GCD(35, 408) = 14280 / 14280
GCD(35, 408) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 35, 408, 772, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 408, 772, 859?
GCD of 35, 408, 772, 859 is 1
2. Where do I get the detailed procedure to find GCD of 35, 408, 772, 859?
You can find a detailed procedure to find GCD of 35, 408, 772, 859 on our page.
3. How to find GCD of 35, 408, 772, 859 on a calculator?
You can find the GCD of 35, 408, 772, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.