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 83, 746, 142, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 746, 142, 810 is 1
GCD(83, 746, 142, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 746, 142, 810 is 1
GCD(83, 746, 142, 810) = 1
Given Input numbers are 83, 746, 142, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 83, 746, 142, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 746, 142, 810 is 1.
Therefore, GCD of numbers 83, 746, 142, 810 is 1
Given Input Data is 83, 746, 142, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 746 is 2 x 373
Prime Factorization of 142 is 2 x 71
Prime Factorization of 810 is 2 x 3 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(83, 746) = 61918
GCD(83, 746) = ( 83 x 746 ) / 61918
GCD(83, 746) = 61918 / 61918
GCD(83, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 83, 746, 142, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 746, 142, 810?
GCD of 83, 746, 142, 810 is 1
2. Where do I get the detailed procedure to find GCD of 83, 746, 142, 810?
You can find a detailed procedure to find GCD of 83, 746, 142, 810 on our page.
3. How to find GCD of 83, 746, 142, 810 on a calculator?
You can find the GCD of 83, 746, 142, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.