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 108, 695, 669, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 695, 669, 846 is 1
GCD(108, 695, 669, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 695, 669, 846 is 1
GCD(108, 695, 669, 846) = 1
Given Input numbers are 108, 695, 669, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 108, 695, 669, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 695, 669, 846 is 1.
Therefore, GCD of numbers 108, 695, 669, 846 is 1
Given Input Data is 108, 695, 669, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 695 is 5 x 139
Prime Factorization of 669 is 3 x 223
Prime Factorization of 846 is 2 x 3 x 3 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(108, 695) = 75060
GCD(108, 695) = ( 108 x 695 ) / 75060
GCD(108, 695) = 75060 / 75060
GCD(108, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 669) = 669
GCD(1, 669) = ( 1 x 669 ) / 669
GCD(1, 669) = 669 / 669
GCD(1, 669) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 108, 695, 669, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 695, 669, 846?
GCD of 108, 695, 669, 846 is 1
2. Where do I get the detailed procedure to find GCD of 108, 695, 669, 846?
You can find a detailed procedure to find GCD of 108, 695, 669, 846 on our page.
3. How to find GCD of 108, 695, 669, 846 on a calculator?
You can find the GCD of 108, 695, 669, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.