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 368, 279, 59, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 279, 59, 749 is 1
GCD(368, 279, 59, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 279, 59, 749 is 1
GCD(368, 279, 59, 749) = 1
Given Input numbers are 368, 279, 59, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 368, 279, 59, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 279, 59, 749 is 1.
Therefore, GCD of numbers 368, 279, 59, 749 is 1
Given Input Data is 368, 279, 59, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 59 is 59
Prime Factorization of 749 is 7 x 107
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(368, 279) = 102672
GCD(368, 279) = ( 368 x 279 ) / 102672
GCD(368, 279) = 102672 / 102672
GCD(368, 279) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
GCD of 368, 279, 59, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 279, 59, 749?
GCD of 368, 279, 59, 749 is 1
2. Where do I get the detailed procedure to find GCD of 368, 279, 59, 749?
You can find a detailed procedure to find GCD of 368, 279, 59, 749 on our page.
3. How to find GCD of 368, 279, 59, 749 on a calculator?
You can find the GCD of 368, 279, 59, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.