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 858, 477, 497, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 477, 497, 540 is 1
GCD(858, 477, 497, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 477, 497, 540 is 1
GCD(858, 477, 497, 540) = 1
Given Input numbers are 858, 477, 497, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 858, 477, 497, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 477, 497, 540 is 1.
Therefore, GCD of numbers 858, 477, 497, 540 is 1
Given Input Data is 858, 477, 497, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 497 is 7 x 71
Prime Factorization of 540 is 2 x 2 x 3 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(858, 477) = 136422
GCD(858, 477) = ( 858 x 477 ) / 136422
GCD(858, 477) = 409266 / 136422
GCD(858, 477) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 497) = 1491
GCD(3, 497) = ( 3 x 497 ) / 1491
GCD(3, 497) = 1491 / 1491
GCD(3, 497) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 858, 477, 497, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 477, 497, 540?
GCD of 858, 477, 497, 540 is 1
2. Where do I get the detailed procedure to find GCD of 858, 477, 497, 540?
You can find a detailed procedure to find GCD of 858, 477, 497, 540 on our page.
3. How to find GCD of 858, 477, 497, 540 on a calculator?
You can find the GCD of 858, 477, 497, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.