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 357, 739, 96, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 739, 96, 194 is 1
GCD(357, 739, 96, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 739, 96, 194 is 1
GCD(357, 739, 96, 194) = 1
Given Input numbers are 357, 739, 96, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
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 357, 739, 96, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 739, 96, 194 is 1.
Therefore, GCD of numbers 357, 739, 96, 194 is 1
Given Input Data is 357, 739, 96, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 739 is 739
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(357, 739) = 263823
GCD(357, 739) = ( 357 x 739 ) / 263823
GCD(357, 739) = 263823 / 263823
GCD(357, 739) = 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 357, 739, 96, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 739, 96, 194?
GCD of 357, 739, 96, 194 is 1
2. Where do I get the detailed procedure to find GCD of 357, 739, 96, 194?
You can find a detailed procedure to find GCD of 357, 739, 96, 194 on our page.
3. How to find GCD of 357, 739, 96, 194 on a calculator?
You can find the GCD of 357, 739, 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.