GCD of 655, 735, 366 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 655, 735, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 655, 735, 366 is 1
GCD(655, 735, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 655, 735, 366 is 1
GCD(655, 735, 366) = 1
GCDof 655,735,366 is 1
Given Input numbers are 655, 735, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 655, 735, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 735, 366 is 1.
Therefore, GCD of numbers 655, 735, 366 is 1
Given Input Data is 655, 735, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 655 is 5 x 131
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 366 is 2 x 3 x 61
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 655, 735, 366 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(655, 735) = 96285
GCD(655, 735) = ( 655 x 735 ) / 96285
GCD(655, 735) = 481425 / 96285
GCD(655, 735) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 366) = 1830
GCD(5, 366) = ( 5 x 366 ) / 1830
GCD(5, 366) = 1830 / 1830
GCD(5, 366) = 1
GCD of 655, 735, 366 is 1
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FAQs on GCD of numbers 655, 735, 366
1. What is the GCD of 655, 735, 366?
GCD of 655, 735, 366 is 1
2. Where do I get the detailed procedure to find GCD of 655, 735, 366?
You can find a detailed procedure to find GCD of 655, 735, 366 on our page.
3. How to find GCD of 655, 735, 366 on a calculator?
You can find the GCD of 655, 735, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.