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 712, 135, 11, 694 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 135, 11, 694 is 1
GCD(712, 135, 11, 694) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 135, 11, 694 is 1
GCD(712, 135, 11, 694) = 1
Given Input numbers are 712, 135, 11, 694
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 712, 135, 11, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 135, 11, 694 is 1.
Therefore, GCD of numbers 712, 135, 11, 694 is 1
Given Input Data is 712, 135, 11, 694
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 11 is 11
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(712, 135) = 96120
GCD(712, 135) = ( 712 x 135 ) / 96120
GCD(712, 135) = 96120 / 96120
GCD(712, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 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 712, 135, 11, 694 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 135, 11, 694?
GCD of 712, 135, 11, 694 is 1
2. Where do I get the detailed procedure to find GCD of 712, 135, 11, 694?
You can find a detailed procedure to find GCD of 712, 135, 11, 694 on our page.
3. How to find GCD of 712, 135, 11, 694 on a calculator?
You can find the GCD of 712, 135, 11, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.