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 486, 764, 507, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 764, 507, 550 is 1
GCD(486, 764, 507, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 764, 507, 550 is 1
GCD(486, 764, 507, 550) = 1
Given Input numbers are 486, 764, 507, 550
To find the GCD of numbers using factoring list out all the divisors of each number
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
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
Greatest Common Divisior
We found the divisors of 486, 764, 507, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 764, 507, 550 is 1.
Therefore, GCD of numbers 486, 764, 507, 550 is 1
Given Input Data is 486, 764, 507, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(486, 764) = 185652
GCD(486, 764) = ( 486 x 764 ) / 185652
GCD(486, 764) = 371304 / 185652
GCD(486, 764) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
GCD(2, 507) = 1014 / 1014
GCD(2, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 486, 764, 507, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 764, 507, 550?
GCD of 486, 764, 507, 550 is 1
2. Where do I get the detailed procedure to find GCD of 486, 764, 507, 550?
You can find a detailed procedure to find GCD of 486, 764, 507, 550 on our page.
3. How to find GCD of 486, 764, 507, 550 on a calculator?
You can find the GCD of 486, 764, 507, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.