GCD of 358, 360, 205 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 358, 360, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 360, 205 is 1
GCD(358, 360, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 360, 205 is 1
GCD(358, 360, 205) = 1
GCDof 358,360,205 is 1
Given Input numbers are 358, 360, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 358, 360, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 360, 205 is 1.
Therefore, GCD of numbers 358, 360, 205 is 1
Given Input Data is 358, 360, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 205 is 5 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 358, 360, 205 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(358, 360) = 64440
GCD(358, 360) = ( 358 x 360 ) / 64440
GCD(358, 360) = 128880 / 64440
GCD(358, 360) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 205) = 410
GCD(2, 205) = ( 2 x 205 ) / 410
GCD(2, 205) = 410 / 410
GCD(2, 205) = 1
GCD of 358, 360, 205 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 358, 360, 205
1. What is the GCD of 358, 360, 205?
GCD of 358, 360, 205 is 1
2. Where do I get the detailed procedure to find GCD of 358, 360, 205?
You can find a detailed procedure to find GCD of 358, 360, 205 on our page.
3. How to find GCD of 358, 360, 205 on a calculator?
You can find the GCD of 358, 360, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.