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 800, 280, 911, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 280, 911, 386 is 1
GCD(800, 280, 911, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 280, 911, 386 is 1
GCD(800, 280, 911, 386) = 1
Given Input numbers are 800, 280, 911, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 800, 280, 911, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 280, 911, 386 is 1.
Therefore, GCD of numbers 800, 280, 911, 386 is 1
Given Input Data is 800, 280, 911, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 911 is 911
Prime Factorization of 386 is 2 x 193
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(800, 280) = 5600
GCD(800, 280) = ( 800 x 280 ) / 5600
GCD(800, 280) = 224000 / 5600
GCD(800, 280) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 911
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 911) = 36440
GCD(40, 911) = ( 40 x 911 ) / 36440
GCD(40, 911) = 36440 / 36440
GCD(40, 911) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 800, 280, 911, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 280, 911, 386?
GCD of 800, 280, 911, 386 is 1
2. Where do I get the detailed procedure to find GCD of 800, 280, 911, 386?
You can find a detailed procedure to find GCD of 800, 280, 911, 386 on our page.
3. How to find GCD of 800, 280, 911, 386 on a calculator?
You can find the GCD of 800, 280, 911, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.