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 940, 642, 51, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 642, 51, 808 is 1
GCD(940, 642, 51, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 642, 51, 808 is 1
GCD(940, 642, 51, 808) = 1
Given Input numbers are 940, 642, 51, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 940, 642, 51, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 642, 51, 808 is 1.
Therefore, GCD of numbers 940, 642, 51, 808 is 1
Given Input Data is 940, 642, 51, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 51 is 3 x 17
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(940, 642) = 301740
GCD(940, 642) = ( 940 x 642 ) / 301740
GCD(940, 642) = 603480 / 301740
GCD(940, 642) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 940, 642, 51, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 642, 51, 808?
GCD of 940, 642, 51, 808 is 1
2. Where do I get the detailed procedure to find GCD of 940, 642, 51, 808?
You can find a detailed procedure to find GCD of 940, 642, 51, 808 on our page.
3. How to find GCD of 940, 642, 51, 808 on a calculator?
You can find the GCD of 940, 642, 51, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.