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 119, 712, 65, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 119, 712, 65, 346 is 1
GCD(119, 712, 65, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 119, 712, 65, 346 is 1
GCD(119, 712, 65, 346) = 1
Given Input numbers are 119, 712, 65, 346
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
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 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 119, 712, 65, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 712, 65, 346 is 1.
Therefore, GCD of numbers 119, 712, 65, 346 is 1
Given Input Data is 119, 712, 65, 346
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 119 is 7 x 17
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 65 is 5 x 13
Prime Factorization of 346 is 2 x 173
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(119, 712) = 84728
GCD(119, 712) = ( 119 x 712 ) / 84728
GCD(119, 712) = 84728 / 84728
GCD(119, 712) = 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 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 119, 712, 65, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 119, 712, 65, 346?
GCD of 119, 712, 65, 346 is 1
2. Where do I get the detailed procedure to find GCD of 119, 712, 65, 346?
You can find a detailed procedure to find GCD of 119, 712, 65, 346 on our page.
3. How to find GCD of 119, 712, 65, 346 on a calculator?
You can find the GCD of 119, 712, 65, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.