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, 483, 91, 560 i.e. 7 largest integer that divides all the numbers equally.
GCD of 280, 483, 91, 560 is 7
GCD(280, 483, 91, 560) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 280, 483, 91, 560 is 7
GCD(280, 483, 91, 560) = 7
Given Input numbers are 280, 483, 91, 560
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 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Greatest Common Divisior
We found the divisors of 280, 483, 91, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 483, 91, 560 is 7.
Therefore, GCD of numbers 280, 483, 91, 560 is 7
Given Input Data is 280, 483, 91, 560
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 483 is 3 x 7 x 23
Prime Factorization of 91 is 7 x 13
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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, 483) = 19320
GCD(280, 483) = ( 280 x 483 ) / 19320
GCD(280, 483) = 135240 / 19320
GCD(280, 483) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 91) = 91
GCD(7, 91) = ( 7 x 91 ) / 91
GCD(7, 91) = 637 / 91
GCD(7, 91) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 560) = 560
GCD(7, 560) = ( 7 x 560 ) / 560
GCD(7, 560) = 3920 / 560
GCD(7, 560) = 7
GCD of 280, 483, 91, 560 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 280, 483, 91, 560?
GCD of 280, 483, 91, 560 is 7
2. Where do I get the detailed procedure to find GCD of 280, 483, 91, 560?
You can find a detailed procedure to find GCD of 280, 483, 91, 560 on our page.
3. How to find GCD of 280, 483, 91, 560 on a calculator?
You can find the GCD of 280, 483, 91, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.