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 918, 601, 66, 790 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 601, 66, 790 is 1
GCD(918, 601, 66, 790) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 601, 66, 790 is 1
GCD(918, 601, 66, 790) = 1
Given Input numbers are 918, 601, 66, 790
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Greatest Common Divisior
We found the divisors of 918, 601, 66, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 601, 66, 790 is 1.
Therefore, GCD of numbers 918, 601, 66, 790 is 1
Given Input Data is 918, 601, 66, 790
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 601 is 601
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 790 is 2 x 5 x 79
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(918, 601) = 551718
GCD(918, 601) = ( 918 x 601 ) / 551718
GCD(918, 601) = 551718 / 551718
GCD(918, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
GCD of 918, 601, 66, 790 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 601, 66, 790?
GCD of 918, 601, 66, 790 is 1
2. Where do I get the detailed procedure to find GCD of 918, 601, 66, 790?
You can find a detailed procedure to find GCD of 918, 601, 66, 790 on our page.
3. How to find GCD of 918, 601, 66, 790 on a calculator?
You can find the GCD of 918, 601, 66, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.