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 834, 139, 80, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 139, 80, 200 is 1
GCD(834, 139, 80, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 139, 80, 200 is 1
GCD(834, 139, 80, 200) = 1
Given Input numbers are 834, 139, 80, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
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 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 834, 139, 80, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 139, 80, 200 is 1.
Therefore, GCD of numbers 834, 139, 80, 200 is 1
Given Input Data is 834, 139, 80, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 139 is 139
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(834, 139) = 834
GCD(834, 139) = ( 834 x 139 ) / 834
GCD(834, 139) = 115926 / 834
GCD(834, 139) = 139
Step2:
Here we consider the GCD from the above i.e. 139 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(139, 80) = 11120
GCD(139, 80) = ( 139 x 80 ) / 11120
GCD(139, 80) = 11120 / 11120
GCD(139, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 834, 139, 80, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 139, 80, 200?
GCD of 834, 139, 80, 200 is 1
2. Where do I get the detailed procedure to find GCD of 834, 139, 80, 200?
You can find a detailed procedure to find GCD of 834, 139, 80, 200 on our page.
3. How to find GCD of 834, 139, 80, 200 on a calculator?
You can find the GCD of 834, 139, 80, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.