GCD of 302, 132, 105 Calculator
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 302, 132, 105 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 132, 105 is 1
GCD(302, 132, 105) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 132, 105 is 1
GCD(302, 132, 105) = 1
GCDof 302,132,105 is 1
Given Input numbers are 302, 132, 105
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
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 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Greatest Common Divisior
We found the divisors of 302, 132, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 132, 105 is 1.
Therefore, GCD of numbers 302, 132, 105 is 1
Given Input Data is 302, 132, 105
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 105 is 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 302, 132, 105 using LCM Formula
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(302, 132) = 19932
GCD(302, 132) = ( 302 x 132 ) / 19932
GCD(302, 132) = 39864 / 19932
GCD(302, 132) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
GCD(2, 105) = 210 / 210
GCD(2, 105) = 1
GCD of 302, 132, 105 is 1
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FAQs on GCD of numbers 302, 132, 105
1. What is the GCD of 302, 132, 105?
GCD of 302, 132, 105 is 1
2. Where do I get the detailed procedure to find GCD of 302, 132, 105?
You can find a detailed procedure to find GCD of 302, 132, 105 on our page.
3. How to find GCD of 302, 132, 105 on a calculator?
You can find the GCD of 302, 132, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.