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 740, 279, 51, 239 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 279, 51, 239 is 1
GCD(740, 279, 51, 239) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 279, 51, 239 is 1
GCD(740, 279, 51, 239) = 1
Given Input numbers are 740, 279, 51, 239
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Greatest Common Divisior
We found the divisors of 740, 279, 51, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 279, 51, 239 is 1.
Therefore, GCD of numbers 740, 279, 51, 239 is 1
Given Input Data is 740, 279, 51, 239
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 51 is 3 x 17
Prime Factorization of 239 is 239
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(740, 279) = 206460
GCD(740, 279) = ( 740 x 279 ) / 206460
GCD(740, 279) = 206460 / 206460
GCD(740, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
GCD of 740, 279, 51, 239 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 279, 51, 239?
GCD of 740, 279, 51, 239 is 1
2. Where do I get the detailed procedure to find GCD of 740, 279, 51, 239?
You can find a detailed procedure to find GCD of 740, 279, 51, 239 on our page.
3. How to find GCD of 740, 279, 51, 239 on a calculator?
You can find the GCD of 740, 279, 51, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.