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 64, 839, 825, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 839, 825, 692 is 1
GCD(64, 839, 825, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 839, 825, 692 is 1
GCD(64, 839, 825, 692) = 1
Given Input numbers are 64, 839, 825, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 64, 839, 825, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 839, 825, 692 is 1.
Therefore, GCD of numbers 64, 839, 825, 692 is 1
Given Input Data is 64, 839, 825, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 839 is 839
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 692 is 2 x 2 x 173
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(64, 839) = 53696
GCD(64, 839) = ( 64 x 839 ) / 53696
GCD(64, 839) = 53696 / 53696
GCD(64, 839) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 64, 839, 825, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 839, 825, 692?
GCD of 64, 839, 825, 692 is 1
2. Where do I get the detailed procedure to find GCD of 64, 839, 825, 692?
You can find a detailed procedure to find GCD of 64, 839, 825, 692 on our page.
3. How to find GCD of 64, 839, 825, 692 on a calculator?
You can find the GCD of 64, 839, 825, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.