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 783, 901, 108, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 783, 901, 108, 677 is 1
GCD(783, 901, 108, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 783, 901, 108, 677 is 1
GCD(783, 901, 108, 677) = 1
Given Input numbers are 783, 901, 108, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 783, 901, 108, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 901, 108, 677 is 1.
Therefore, GCD of numbers 783, 901, 108, 677 is 1
Given Input Data is 783, 901, 108, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 901 is 17 x 53
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 677 is 677
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(783, 901) = 705483
GCD(783, 901) = ( 783 x 901 ) / 705483
GCD(783, 901) = 705483 / 705483
GCD(783, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 783, 901, 108, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 783, 901, 108, 677?
GCD of 783, 901, 108, 677 is 1
2. Where do I get the detailed procedure to find GCD of 783, 901, 108, 677?
You can find a detailed procedure to find GCD of 783, 901, 108, 677 on our page.
3. How to find GCD of 783, 901, 108, 677 on a calculator?
You can find the GCD of 783, 901, 108, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.