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 402, 365, 66, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 365, 66, 141 is 1
GCD(402, 365, 66, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 365, 66, 141 is 1
GCD(402, 365, 66, 141) = 1
Given Input numbers are 402, 365, 66, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
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 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 402, 365, 66, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 365, 66, 141 is 1.
Therefore, GCD of numbers 402, 365, 66, 141 is 1
Given Input Data is 402, 365, 66, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 365 is 5 x 73
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 141 is 3 x 47
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(402, 365) = 146730
GCD(402, 365) = ( 402 x 365 ) / 146730
GCD(402, 365) = 146730 / 146730
GCD(402, 365) = 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 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 402, 365, 66, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 365, 66, 141?
GCD of 402, 365, 66, 141 is 1
2. Where do I get the detailed procedure to find GCD of 402, 365, 66, 141?
You can find a detailed procedure to find GCD of 402, 365, 66, 141 on our page.
3. How to find GCD of 402, 365, 66, 141 on a calculator?
You can find the GCD of 402, 365, 66, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.