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 365, 101, 666, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 101, 666, 701 is 1
GCD(365, 101, 666, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 101, 666, 701 is 1
GCD(365, 101, 666, 701) = 1
Given Input numbers are 365, 101, 666, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 365, 101, 666, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 101, 666, 701 is 1.
Therefore, GCD of numbers 365, 101, 666, 701 is 1
Given Input Data is 365, 101, 666, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 101 is 101
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 701 is 701
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(365, 101) = 36865
GCD(365, 101) = ( 365 x 101 ) / 36865
GCD(365, 101) = 36865 / 36865
GCD(365, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 365, 101, 666, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 101, 666, 701?
GCD of 365, 101, 666, 701 is 1
2. Where do I get the detailed procedure to find GCD of 365, 101, 666, 701?
You can find a detailed procedure to find GCD of 365, 101, 666, 701 on our page.
3. How to find GCD of 365, 101, 666, 701 on a calculator?
You can find the GCD of 365, 101, 666, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.