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 559, 722, 749, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 559, 722, 749, 114 is 1
GCD(559, 722, 749, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 559, 722, 749, 114 is 1
GCD(559, 722, 749, 114) = 1
Given Input numbers are 559, 722, 749, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 559, 722, 749, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 722, 749, 114 is 1.
Therefore, GCD of numbers 559, 722, 749, 114 is 1
Given Input Data is 559, 722, 749, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 559 is 13 x 43
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 749 is 7 x 107
Prime Factorization of 114 is 2 x 3 x 19
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(559, 722) = 403598
GCD(559, 722) = ( 559 x 722 ) / 403598
GCD(559, 722) = 403598 / 403598
GCD(559, 722) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 559, 722, 749, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 559, 722, 749, 114?
GCD of 559, 722, 749, 114 is 1
2. Where do I get the detailed procedure to find GCD of 559, 722, 749, 114?
You can find a detailed procedure to find GCD of 559, 722, 749, 114 on our page.
3. How to find GCD of 559, 722, 749, 114 on a calculator?
You can find the GCD of 559, 722, 749, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.