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 280, 835, 48, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 280, 835, 48, 643 is 1
GCD(280, 835, 48, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 835, 48, 643 is 1
GCD(280, 835, 48, 643) = 1
Given Input numbers are 280, 835, 48, 643
To find the GCD of numbers using factoring list out all the divisors of each number
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 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 280, 835, 48, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 835, 48, 643 is 1.
Therefore, GCD of numbers 280, 835, 48, 643 is 1
Given Input Data is 280, 835, 48, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 835 is 5 x 167
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 643 is 643
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(280, 835) = 46760
GCD(280, 835) = ( 280 x 835 ) / 46760
GCD(280, 835) = 233800 / 46760
GCD(280, 835) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 48) = 240
GCD(5, 48) = ( 5 x 48 ) / 240
GCD(5, 48) = 240 / 240
GCD(5, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 280, 835, 48, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 835, 48, 643?
GCD of 280, 835, 48, 643 is 1
2. Where do I get the detailed procedure to find GCD of 280, 835, 48, 643?
You can find a detailed procedure to find GCD of 280, 835, 48, 643 on our page.
3. How to find GCD of 280, 835, 48, 643 on a calculator?
You can find the GCD of 280, 835, 48, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.