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, 931, 674, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 931, 674, 360 is 1
GCD(486, 931, 674, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 931, 674, 360 is 1
GCD(486, 931, 674, 360) = 1
Given Input numbers are 486, 931, 674, 360
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 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
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
Greatest Common Divisior
We found the divisors of 486, 931, 674, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 931, 674, 360 is 1.
Therefore, GCD of numbers 486, 931, 674, 360 is 1
Given Input Data is 486, 931, 674, 360
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 931 is 7 x 7 x 19
Prime Factorization of 674 is 2 x 337
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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, 931) = 452466
GCD(486, 931) = ( 486 x 931 ) / 452466
GCD(486, 931) = 452466 / 452466
GCD(486, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
Step3:
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
GCD of 486, 931, 674, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 931, 674, 360?
GCD of 486, 931, 674, 360 is 1
2. Where do I get the detailed procedure to find GCD of 486, 931, 674, 360?
You can find a detailed procedure to find GCD of 486, 931, 674, 360 on our page.
3. How to find GCD of 486, 931, 674, 360 on a calculator?
You can find the GCD of 486, 931, 674, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.