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 110, 177, 614, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 110, 177, 614, 645 is 1
GCD(110, 177, 614, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 110, 177, 614, 645 is 1
GCD(110, 177, 614, 645) = 1
Given Input numbers are 110, 177, 614, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 110, 177, 614, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 177, 614, 645 is 1.
Therefore, GCD of numbers 110, 177, 614, 645 is 1
Given Input Data is 110, 177, 614, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 177 is 3 x 59
Prime Factorization of 614 is 2 x 307
Prime Factorization of 645 is 3 x 5 x 43
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(110, 177) = 19470
GCD(110, 177) = ( 110 x 177 ) / 19470
GCD(110, 177) = 19470 / 19470
GCD(110, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 110, 177, 614, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 110, 177, 614, 645?
GCD of 110, 177, 614, 645 is 1
2. Where do I get the detailed procedure to find GCD of 110, 177, 614, 645?
You can find a detailed procedure to find GCD of 110, 177, 614, 645 on our page.
3. How to find GCD of 110, 177, 614, 645 on a calculator?
You can find the GCD of 110, 177, 614, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.