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 916, 207, 259, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 207, 259, 749 is 1
GCD(916, 207, 259, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 207, 259, 749 is 1
GCD(916, 207, 259, 749) = 1
Given Input numbers are 916, 207, 259, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
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 916, 207, 259, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 207, 259, 749 is 1.
Therefore, GCD of numbers 916, 207, 259, 749 is 1
Given Input Data is 916, 207, 259, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 259 is 7 x 37
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(916, 207) = 189612
GCD(916, 207) = ( 916 x 207 ) / 189612
GCD(916, 207) = 189612 / 189612
GCD(916, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 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 916, 207, 259, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 207, 259, 749?
GCD of 916, 207, 259, 749 is 1
2. Where do I get the detailed procedure to find GCD of 916, 207, 259, 749?
You can find a detailed procedure to find GCD of 916, 207, 259, 749 on our page.
3. How to find GCD of 916, 207, 259, 749 on a calculator?
You can find the GCD of 916, 207, 259, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.