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 66, 141, 383, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 141, 383, 258 is 1
GCD(66, 141, 383, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 141, 383, 258 is 1
GCD(66, 141, 383, 258) = 1
Given Input numbers are 66, 141, 383, 258
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 66, 141, 383, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 141, 383, 258 is 1.
Therefore, GCD of numbers 66, 141, 383, 258 is 1
Given Input Data is 66, 141, 383, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 141 is 3 x 47
Prime Factorization of 383 is 383
Prime Factorization of 258 is 2 x 3 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(66, 141) = 3102
GCD(66, 141) = ( 66 x 141 ) / 3102
GCD(66, 141) = 9306 / 3102
GCD(66, 141) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 383) = 1149
GCD(3, 383) = ( 3 x 383 ) / 1149
GCD(3, 383) = 1149 / 1149
GCD(3, 383) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 66, 141, 383, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 141, 383, 258?
GCD of 66, 141, 383, 258 is 1
2. Where do I get the detailed procedure to find GCD of 66, 141, 383, 258?
You can find a detailed procedure to find GCD of 66, 141, 383, 258 on our page.
3. How to find GCD of 66, 141, 383, 258 on a calculator?
You can find the GCD of 66, 141, 383, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.