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 32, 379, 469, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 379, 469, 102 is 1
GCD(32, 379, 469, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 379, 469, 102 is 1
GCD(32, 379, 469, 102) = 1
Given Input numbers are 32, 379, 469, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 32, 379, 469, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 379, 469, 102 is 1.
Therefore, GCD of numbers 32, 379, 469, 102 is 1
Given Input Data is 32, 379, 469, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 379 is 379
Prime Factorization of 469 is 7 x 67
Prime Factorization of 102 is 2 x 3 x 17
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(32, 379) = 12128
GCD(32, 379) = ( 32 x 379 ) / 12128
GCD(32, 379) = 12128 / 12128
GCD(32, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 32, 379, 469, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 379, 469, 102?
GCD of 32, 379, 469, 102 is 1
2. Where do I get the detailed procedure to find GCD of 32, 379, 469, 102?
You can find a detailed procedure to find GCD of 32, 379, 469, 102 on our page.
3. How to find GCD of 32, 379, 469, 102 on a calculator?
You can find the GCD of 32, 379, 469, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.