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 48, 497, 996, 219 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 497, 996, 219 is 1
GCD(48, 497, 996, 219) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 497, 996, 219 is 1
GCD(48, 497, 996, 219) = 1
Given Input numbers are 48, 497, 996, 219
To find the GCD of numbers using factoring list out all the divisors of each number
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 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Greatest Common Divisior
We found the divisors of 48, 497, 996, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 497, 996, 219 is 1.
Therefore, GCD of numbers 48, 497, 996, 219 is 1
Given Input Data is 48, 497, 996, 219
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 497 is 7 x 71
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 219 is 3 x 73
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(48, 497) = 23856
GCD(48, 497) = ( 48 x 497 ) / 23856
GCD(48, 497) = 23856 / 23856
GCD(48, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 219) = 219
GCD(1, 219) = ( 1 x 219 ) / 219
GCD(1, 219) = 219 / 219
GCD(1, 219) = 1
GCD of 48, 497, 996, 219 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 497, 996, 219?
GCD of 48, 497, 996, 219 is 1
2. Where do I get the detailed procedure to find GCD of 48, 497, 996, 219?
You can find a detailed procedure to find GCD of 48, 497, 996, 219 on our page.
3. How to find GCD of 48, 497, 996, 219 on a calculator?
You can find the GCD of 48, 497, 996, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.