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 387, 745, 66, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 745, 66, 946 is 1
GCD(387, 745, 66, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 745, 66, 946 is 1
GCD(387, 745, 66, 946) = 1
Given Input numbers are 387, 745, 66, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
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 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 387, 745, 66, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 745, 66, 946 is 1.
Therefore, GCD of numbers 387, 745, 66, 946 is 1
Given Input Data is 387, 745, 66, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 745 is 5 x 149
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 946 is 2 x 11 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(387, 745) = 288315
GCD(387, 745) = ( 387 x 745 ) / 288315
GCD(387, 745) = 288315 / 288315
GCD(387, 745) = 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 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 387, 745, 66, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 745, 66, 946?
GCD of 387, 745, 66, 946 is 1
2. Where do I get the detailed procedure to find GCD of 387, 745, 66, 946?
You can find a detailed procedure to find GCD of 387, 745, 66, 946 on our page.
3. How to find GCD of 387, 745, 66, 946 on a calculator?
You can find the GCD of 387, 745, 66, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.