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 362, 610, 486, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 610, 486, 913 is 1
GCD(362, 610, 486, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 610, 486, 913 is 1
GCD(362, 610, 486, 913) = 1
Given Input numbers are 362, 610, 486, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 362, 610, 486, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 610, 486, 913 is 1.
Therefore, GCD of numbers 362, 610, 486, 913 is 1
Given Input Data is 362, 610, 486, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 913 is 11 x 83
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(362, 610) = 110410
GCD(362, 610) = ( 362 x 610 ) / 110410
GCD(362, 610) = 220820 / 110410
GCD(362, 610) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
GCD(2, 486) = 972 / 486
GCD(2, 486) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 913) = 1826
GCD(2, 913) = ( 2 x 913 ) / 1826
GCD(2, 913) = 1826 / 1826
GCD(2, 913) = 1
GCD of 362, 610, 486, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 610, 486, 913?
GCD of 362, 610, 486, 913 is 1
2. Where do I get the detailed procedure to find GCD of 362, 610, 486, 913?
You can find a detailed procedure to find GCD of 362, 610, 486, 913 on our page.
3. How to find GCD of 362, 610, 486, 913 on a calculator?
You can find the GCD of 362, 610, 486, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.