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 40, 798, 743, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 798, 743, 212 is 1
GCD(40, 798, 743, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 798, 743, 212 is 1
GCD(40, 798, 743, 212) = 1
Given Input numbers are 40, 798, 743, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 40, 798, 743, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 798, 743, 212 is 1.
Therefore, GCD of numbers 40, 798, 743, 212 is 1
Given Input Data is 40, 798, 743, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 743 is 743
Prime Factorization of 212 is 2 x 2 x 53
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(40, 798) = 15960
GCD(40, 798) = ( 40 x 798 ) / 15960
GCD(40, 798) = 31920 / 15960
GCD(40, 798) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 743) = 1486
GCD(2, 743) = ( 2 x 743 ) / 1486
GCD(2, 743) = 1486 / 1486
GCD(2, 743) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 40, 798, 743, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 798, 743, 212?
GCD of 40, 798, 743, 212 is 1
2. Where do I get the detailed procedure to find GCD of 40, 798, 743, 212?
You can find a detailed procedure to find GCD of 40, 798, 743, 212 on our page.
3. How to find GCD of 40, 798, 743, 212 on a calculator?
You can find the GCD of 40, 798, 743, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.