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 19, 535, 123, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 535, 123, 220 is 1
GCD(19, 535, 123, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 535, 123, 220 is 1
GCD(19, 535, 123, 220) = 1
Given Input numbers are 19, 535, 123, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 19, 535, 123, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 535, 123, 220 is 1.
Therefore, GCD of numbers 19, 535, 123, 220 is 1
Given Input Data is 19, 535, 123, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 535 is 5 x 107
Prime Factorization of 123 is 3 x 41
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(19, 535) = 10165
GCD(19, 535) = ( 19 x 535 ) / 10165
GCD(19, 535) = 10165 / 10165
GCD(19, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 19, 535, 123, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 535, 123, 220?
GCD of 19, 535, 123, 220 is 1
2. Where do I get the detailed procedure to find GCD of 19, 535, 123, 220?
You can find a detailed procedure to find GCD of 19, 535, 123, 220 on our page.
3. How to find GCD of 19, 535, 123, 220 on a calculator?
You can find the GCD of 19, 535, 123, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.