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, 838, 746, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 838, 746, 801 is 1
GCD(486, 838, 746, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 838, 746, 801 is 1
GCD(486, 838, 746, 801) = 1
Given Input numbers are 486, 838, 746, 801
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 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 486, 838, 746, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 838, 746, 801 is 1.
Therefore, GCD of numbers 486, 838, 746, 801 is 1
Given Input Data is 486, 838, 746, 801
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 838 is 2 x 419
Prime Factorization of 746 is 2 x 373
Prime Factorization of 801 is 3 x 3 x 89
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, 838) = 203634
GCD(486, 838) = ( 486 x 838 ) / 203634
GCD(486, 838) = 407268 / 203634
GCD(486, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
GCD(2, 746) = 1492 / 746
GCD(2, 746) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 801) = 1602
GCD(2, 801) = ( 2 x 801 ) / 1602
GCD(2, 801) = 1602 / 1602
GCD(2, 801) = 1
GCD of 486, 838, 746, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 838, 746, 801?
GCD of 486, 838, 746, 801 is 1
2. Where do I get the detailed procedure to find GCD of 486, 838, 746, 801?
You can find a detailed procedure to find GCD of 486, 838, 746, 801 on our page.
3. How to find GCD of 486, 838, 746, 801 on a calculator?
You can find the GCD of 486, 838, 746, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.