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 147, 666, 486, 390 i.e. 3 largest integer that divides all the numbers equally.
GCD of 147, 666, 486, 390 is 3
GCD(147, 666, 486, 390) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 666, 486, 390 is 3
GCD(147, 666, 486, 390) = 3
Given Input numbers are 147, 666, 486, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
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 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 147, 666, 486, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 666, 486, 390 is 3.
Therefore, GCD of numbers 147, 666, 486, 390 is 3
Given Input Data is 147, 666, 486, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 390 is 2 x 3 x 5 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(147, 666) = 32634
GCD(147, 666) = ( 147 x 666 ) / 32634
GCD(147, 666) = 97902 / 32634
GCD(147, 666) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
GCD(3, 486) = 1458 / 486
GCD(3, 486) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
GCD(3, 390) = 1170 / 390
GCD(3, 390) = 3
GCD of 147, 666, 486, 390 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 666, 486, 390?
GCD of 147, 666, 486, 390 is 3
2. Where do I get the detailed procedure to find GCD of 147, 666, 486, 390?
You can find a detailed procedure to find GCD of 147, 666, 486, 390 on our page.
3. How to find GCD of 147, 666, 486, 390 on a calculator?
You can find the GCD of 147, 666, 486, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.