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 984, 104, 679, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 104, 679, 435 is 1
GCD(984, 104, 679, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 104, 679, 435 is 1
GCD(984, 104, 679, 435) = 1
Given Input numbers are 984, 104, 679, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 984, 104, 679, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 104, 679, 435 is 1.
Therefore, GCD of numbers 984, 104, 679, 435 is 1
Given Input Data is 984, 104, 679, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 679 is 7 x 97
Prime Factorization of 435 is 3 x 5 x 29
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(984, 104) = 12792
GCD(984, 104) = ( 984 x 104 ) / 12792
GCD(984, 104) = 102336 / 12792
GCD(984, 104) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 679) = 5432
GCD(8, 679) = ( 8 x 679 ) / 5432
GCD(8, 679) = 5432 / 5432
GCD(8, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 984, 104, 679, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 984, 104, 679, 435?
GCD of 984, 104, 679, 435 is 1
2. Where do I get the detailed procedure to find GCD of 984, 104, 679, 435?
You can find a detailed procedure to find GCD of 984, 104, 679, 435 on our page.
3. How to find GCD of 984, 104, 679, 435 on a calculator?
You can find the GCD of 984, 104, 679, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.