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 68, 647, 360, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 647, 360, 486 is 1
GCD(68, 647, 360, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 647, 360, 486 is 1
GCD(68, 647, 360, 486) = 1
Given Input numbers are 68, 647, 360, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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
Greatest Common Divisior
We found the divisors of 68, 647, 360, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 647, 360, 486 is 1.
Therefore, GCD of numbers 68, 647, 360, 486 is 1
Given Input Data is 68, 647, 360, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 647 is 647
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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(68, 647) = 43996
GCD(68, 647) = ( 68 x 647 ) / 43996
GCD(68, 647) = 43996 / 43996
GCD(68, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 68, 647, 360, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 647, 360, 486?
GCD of 68, 647, 360, 486 is 1
2. Where do I get the detailed procedure to find GCD of 68, 647, 360, 486?
You can find a detailed procedure to find GCD of 68, 647, 360, 486 on our page.
3. How to find GCD of 68, 647, 360, 486 on a calculator?
You can find the GCD of 68, 647, 360, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.