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 550, 301, 64, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 301, 64, 486 is 1
GCD(550, 301, 64, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 301, 64, 486 is 1
GCD(550, 301, 64, 486) = 1
Given Input numbers are 550, 301, 64, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
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 550, 301, 64, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 301, 64, 486 is 1.
Therefore, GCD of numbers 550, 301, 64, 486 is 1
Given Input Data is 550, 301, 64, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 301 is 7 x 43
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
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(550, 301) = 165550
GCD(550, 301) = ( 550 x 301 ) / 165550
GCD(550, 301) = 165550 / 165550
GCD(550, 301) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 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 550, 301, 64, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 301, 64, 486?
GCD of 550, 301, 64, 486 is 1
2. Where do I get the detailed procedure to find GCD of 550, 301, 64, 486?
You can find a detailed procedure to find GCD of 550, 301, 64, 486 on our page.
3. How to find GCD of 550, 301, 64, 486 on a calculator?
You can find the GCD of 550, 301, 64, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.