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 859, 764, 39, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 859, 764, 39, 553 is 1
GCD(859, 764, 39, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 859, 764, 39, 553 is 1
GCD(859, 764, 39, 553) = 1
Given Input numbers are 859, 764, 39, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 859, 764, 39, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 764, 39, 553 is 1.
Therefore, GCD of numbers 859, 764, 39, 553 is 1
Given Input Data is 859, 764, 39, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 859 is 859
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 39 is 3 x 13
Prime Factorization of 553 is 7 x 79
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(859, 764) = 656276
GCD(859, 764) = ( 859 x 764 ) / 656276
GCD(859, 764) = 656276 / 656276
GCD(859, 764) = 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 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 859, 764, 39, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 859, 764, 39, 553?
GCD of 859, 764, 39, 553 is 1
2. Where do I get the detailed procedure to find GCD of 859, 764, 39, 553?
You can find a detailed procedure to find GCD of 859, 764, 39, 553 on our page.
3. How to find GCD of 859, 764, 39, 553 on a calculator?
You can find the GCD of 859, 764, 39, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.