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 356, 685, 96, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 685, 96, 194 is 1
GCD(356, 685, 96, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 685, 96, 194 is 1
GCD(356, 685, 96, 194) = 1
Given Input numbers are 356, 685, 96, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Greatest Common Divisior
We found the divisors of 356, 685, 96, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 685, 96, 194 is 1.
Therefore, GCD of numbers 356, 685, 96, 194 is 1
Given Input Data is 356, 685, 96, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 685 is 5 x 137
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 194 is 2 x 97
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(356, 685) = 243860
GCD(356, 685) = ( 356 x 685 ) / 243860
GCD(356, 685) = 243860 / 243860
GCD(356, 685) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
GCD of 356, 685, 96, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 685, 96, 194?
GCD of 356, 685, 96, 194 is 1
2. Where do I get the detailed procedure to find GCD of 356, 685, 96, 194?
You can find a detailed procedure to find GCD of 356, 685, 96, 194 on our page.
3. How to find GCD of 356, 685, 96, 194 on a calculator?
You can find the GCD of 356, 685, 96, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.