GCD of 360, 573, 178 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 360, 573, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 573, 178 is 1
GCD(360, 573, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 573, 178 is 1
GCD(360, 573, 178) = 1
GCDof 360,573,178 is 1
Given Input numbers are 360, 573, 178
To find the GCD of numbers using factoring list out all the divisors of each number
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 360, 573, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 573, 178 is 1.
Therefore, GCD of numbers 360, 573, 178 is 1
Given Input Data is 360, 573, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 573 is 3 x 191
Prime Factorization of 178 is 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 360, 573, 178 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(360, 573) = 68760
GCD(360, 573) = ( 360 x 573 ) / 68760
GCD(360, 573) = 206280 / 68760
GCD(360, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 178) = 534
GCD(3, 178) = ( 3 x 178 ) / 534
GCD(3, 178) = 534 / 534
GCD(3, 178) = 1
GCD of 360, 573, 178 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 360, 573, 178
1. What is the GCD of 360, 573, 178?
GCD of 360, 573, 178 is 1
2. Where do I get the detailed procedure to find GCD of 360, 573, 178?
You can find a detailed procedure to find GCD of 360, 573, 178 on our page.
3. How to find GCD of 360, 573, 178 on a calculator?
You can find the GCD of 360, 573, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.