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 116, 783, 84, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 116, 783, 84, 427 is 1
GCD(116, 783, 84, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 116, 783, 84, 427 is 1
GCD(116, 783, 84, 427) = 1
Given Input numbers are 116, 783, 84, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 116, 783, 84, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 783, 84, 427 is 1.
Therefore, GCD of numbers 116, 783, 84, 427 is 1
Given Input Data is 116, 783, 84, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 427 is 7 x 61
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(116, 783) = 3132
GCD(116, 783) = ( 116 x 783 ) / 3132
GCD(116, 783) = 90828 / 3132
GCD(116, 783) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 84) = 2436
GCD(29, 84) = ( 29 x 84 ) / 2436
GCD(29, 84) = 2436 / 2436
GCD(29, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 116, 783, 84, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 116, 783, 84, 427?
GCD of 116, 783, 84, 427 is 1
2. Where do I get the detailed procedure to find GCD of 116, 783, 84, 427?
You can find a detailed procedure to find GCD of 116, 783, 84, 427 on our page.
3. How to find GCD of 116, 783, 84, 427 on a calculator?
You can find the GCD of 116, 783, 84, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.