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, 554, 61, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 554, 61, 871 is 1
GCD(486, 554, 61, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 554, 61, 871 is 1
GCD(486, 554, 61, 871) = 1
Given Input numbers are 486, 554, 61, 871
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 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 486, 554, 61, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 554, 61, 871 is 1.
Therefore, GCD of numbers 486, 554, 61, 871 is 1
Given Input Data is 486, 554, 61, 871
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 554 is 2 x 277
Prime Factorization of 61 is 61
Prime Factorization of 871 is 13 x 67
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, 554) = 134622
GCD(486, 554) = ( 486 x 554 ) / 134622
GCD(486, 554) = 269244 / 134622
GCD(486, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 871) = 871
GCD(1, 871) = ( 1 x 871 ) / 871
GCD(1, 871) = 871 / 871
GCD(1, 871) = 1
GCD of 486, 554, 61, 871 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 554, 61, 871?
GCD of 486, 554, 61, 871 is 1
2. Where do I get the detailed procedure to find GCD of 486, 554, 61, 871?
You can find a detailed procedure to find GCD of 486, 554, 61, 871 on our page.
3. How to find GCD of 486, 554, 61, 871 on a calculator?
You can find the GCD of 486, 554, 61, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.