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 805, 140, 80, 184 i.e. 1 largest integer that divides all the numbers equally.
GCD of 805, 140, 80, 184 is 1
GCD(805, 140, 80, 184) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 805, 140, 80, 184 is 1
GCD(805, 140, 80, 184) = 1
Given Input numbers are 805, 140, 80, 184
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Greatest Common Divisior
We found the divisors of 805, 140, 80, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 140, 80, 184 is 1.
Therefore, GCD of numbers 805, 140, 80, 184 is 1
Given Input Data is 805, 140, 80, 184
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 184 is 2 x 2 x 2 x 23
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(805, 140) = 3220
GCD(805, 140) = ( 805 x 140 ) / 3220
GCD(805, 140) = 112700 / 3220
GCD(805, 140) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 80) = 560
GCD(35, 80) = ( 35 x 80 ) / 560
GCD(35, 80) = 2800 / 560
GCD(35, 80) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 184) = 920
GCD(5, 184) = ( 5 x 184 ) / 920
GCD(5, 184) = 920 / 920
GCD(5, 184) = 1
GCD of 805, 140, 80, 184 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 805, 140, 80, 184?
GCD of 805, 140, 80, 184 is 1
2. Where do I get the detailed procedure to find GCD of 805, 140, 80, 184?
You can find a detailed procedure to find GCD of 805, 140, 80, 184 on our page.
3. How to find GCD of 805, 140, 80, 184 on a calculator?
You can find the GCD of 805, 140, 80, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.