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 11, 758, 144, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 758, 144, 694 is 1
GCD(11, 758, 144, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 758, 144, 694 is 1
GCD(11, 758, 144, 694) = 1
Given Input numbers are 11, 758, 144, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Greatest Common Divisior
We found the divisors of 11, 758, 144, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 758, 144, 694 is 1.
Therefore, GCD of numbers 11, 758, 144, 694 is 1
Given Input Data is 11, 758, 144, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 758 is 2 x 379
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 694 is 2 x 347
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(11, 758) = 8338
GCD(11, 758) = ( 11 x 758 ) / 8338
GCD(11, 758) = 8338 / 8338
GCD(11, 758) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 694
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 694) = 694
GCD(1, 694) = ( 1 x 694 ) / 694
GCD(1, 694) = 694 / 694
GCD(1, 694) = 1
GCD of 11, 758, 144, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 758, 144, 694?
GCD of 11, 758, 144, 694 is 1
2. Where do I get the detailed procedure to find GCD of 11, 758, 144, 694?
You can find a detailed procedure to find GCD of 11, 758, 144, 694 on our page.
3. How to find GCD of 11, 758, 144, 694 on a calculator?
You can find the GCD of 11, 758, 144, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.