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 862, 724, 53, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 724, 53, 489 is 1
GCD(862, 724, 53, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 724, 53, 489 is 1
GCD(862, 724, 53, 489) = 1
Given Input numbers are 862, 724, 53, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 862, 724, 53, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 724, 53, 489 is 1.
Therefore, GCD of numbers 862, 724, 53, 489 is 1
Given Input Data is 862, 724, 53, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 53 is 53
Prime Factorization of 489 is 3 x 163
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(862, 724) = 312044
GCD(862, 724) = ( 862 x 724 ) / 312044
GCD(862, 724) = 624088 / 312044
GCD(862, 724) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 53) = 106
GCD(2, 53) = ( 2 x 53 ) / 106
GCD(2, 53) = 106 / 106
GCD(2, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 862, 724, 53, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 724, 53, 489?
GCD of 862, 724, 53, 489 is 1
2. Where do I get the detailed procedure to find GCD of 862, 724, 53, 489?
You can find a detailed procedure to find GCD of 862, 724, 53, 489 on our page.
3. How to find GCD of 862, 724, 53, 489 on a calculator?
You can find the GCD of 862, 724, 53, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.