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 111, 734, 65, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 111, 734, 65, 926 is 1
GCD(111, 734, 65, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 111, 734, 65, 926 is 1
GCD(111, 734, 65, 926) = 1
Given Input numbers are 111, 734, 65, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 111, 734, 65, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 111, 734, 65, 926 is 1.
Therefore, GCD of numbers 111, 734, 65, 926 is 1
Given Input Data is 111, 734, 65, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 111 is 3 x 37
Prime Factorization of 734 is 2 x 367
Prime Factorization of 65 is 5 x 13
Prime Factorization of 926 is 2 x 463
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(111, 734) = 81474
GCD(111, 734) = ( 111 x 734 ) / 81474
GCD(111, 734) = 81474 / 81474
GCD(111, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 111, 734, 65, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 111, 734, 65, 926?
GCD of 111, 734, 65, 926 is 1
2. Where do I get the detailed procedure to find GCD of 111, 734, 65, 926?
You can find a detailed procedure to find GCD of 111, 734, 65, 926 on our page.
3. How to find GCD of 111, 734, 65, 926 on a calculator?
You can find the GCD of 111, 734, 65, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.