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 215, 948, 132, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 215, 948, 132, 285 is 1
GCD(215, 948, 132, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 215, 948, 132, 285 is 1
GCD(215, 948, 132, 285) = 1
Given Input numbers are 215, 948, 132, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Greatest Common Divisior
We found the divisors of 215, 948, 132, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 948, 132, 285 is 1.
Therefore, GCD of numbers 215, 948, 132, 285 is 1
Given Input Data is 215, 948, 132, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 215 is 5 x 43
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 285 is 3 x 5 x 19
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(215, 948) = 203820
GCD(215, 948) = ( 215 x 948 ) / 203820
GCD(215, 948) = 203820 / 203820
GCD(215, 948) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
GCD of 215, 948, 132, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 215, 948, 132, 285?
GCD of 215, 948, 132, 285 is 1
2. Where do I get the detailed procedure to find GCD of 215, 948, 132, 285?
You can find a detailed procedure to find GCD of 215, 948, 132, 285 on our page.
3. How to find GCD of 215, 948, 132, 285 on a calculator?
You can find the GCD of 215, 948, 132, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.