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 920, 859, 39, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 859, 39, 695 is 1
GCD(920, 859, 39, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 859, 39, 695 is 1
GCD(920, 859, 39, 695) = 1
Given Input numbers are 920, 859, 39, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 920, 859, 39, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 859, 39, 695 is 1.
Therefore, GCD of numbers 920, 859, 39, 695 is 1
Given Input Data is 920, 859, 39, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 859 is 859
Prime Factorization of 39 is 3 x 13
Prime Factorization of 695 is 5 x 139
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(920, 859) = 790280
GCD(920, 859) = ( 920 x 859 ) / 790280
GCD(920, 859) = 790280 / 790280
GCD(920, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 920, 859, 39, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 859, 39, 695?
GCD of 920, 859, 39, 695 is 1
2. Where do I get the detailed procedure to find GCD of 920, 859, 39, 695?
You can find a detailed procedure to find GCD of 920, 859, 39, 695 on our page.
3. How to find GCD of 920, 859, 39, 695 on a calculator?
You can find the GCD of 920, 859, 39, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.