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, 356, 232, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 356, 232, 995 is 1
GCD(48, 356, 232, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 356, 232, 995 is 1
GCD(48, 356, 232, 995) = 1
Given Input numbers are 48, 356, 232, 995
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 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 48, 356, 232, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 356, 232, 995 is 1.
Therefore, GCD of numbers 48, 356, 232, 995 is 1
Given Input Data is 48, 356, 232, 995
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 356 is 2 x 2 x 89
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 995 is 5 x 199
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, 356) = 4272
GCD(48, 356) = ( 48 x 356 ) / 4272
GCD(48, 356) = 17088 / 4272
GCD(48, 356) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 232) = 232
GCD(4, 232) = ( 4 x 232 ) / 232
GCD(4, 232) = 928 / 232
GCD(4, 232) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 995) = 3980
GCD(4, 995) = ( 4 x 995 ) / 3980
GCD(4, 995) = 3980 / 3980
GCD(4, 995) = 1
GCD of 48, 356, 232, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 356, 232, 995?
GCD of 48, 356, 232, 995 is 1
2. Where do I get the detailed procedure to find GCD of 48, 356, 232, 995?
You can find a detailed procedure to find GCD of 48, 356, 232, 995 on our page.
3. How to find GCD of 48, 356, 232, 995 on a calculator?
You can find the GCD of 48, 356, 232, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.