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 372, 555, 105, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 555, 105, 265 is 1
GCD(372, 555, 105, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 555, 105, 265 is 1
GCD(372, 555, 105, 265) = 1
Given Input numbers are 372, 555, 105, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 372, 555, 105, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 555, 105, 265 is 1.
Therefore, GCD of numbers 372, 555, 105, 265 is 1
Given Input Data is 372, 555, 105, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 265 is 5 x 53
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(372, 555) = 68820
GCD(372, 555) = ( 372 x 555 ) / 68820
GCD(372, 555) = 206460 / 68820
GCD(372, 555) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 105
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 105) = 105
GCD(3, 105) = ( 3 x 105 ) / 105
GCD(3, 105) = 315 / 105
GCD(3, 105) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 265) = 795
GCD(3, 265) = ( 3 x 265 ) / 795
GCD(3, 265) = 795 / 795
GCD(3, 265) = 1
GCD of 372, 555, 105, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 555, 105, 265?
GCD of 372, 555, 105, 265 is 1
2. Where do I get the detailed procedure to find GCD of 372, 555, 105, 265?
You can find a detailed procedure to find GCD of 372, 555, 105, 265 on our page.
3. How to find GCD of 372, 555, 105, 265 on a calculator?
You can find the GCD of 372, 555, 105, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.