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 73, 194, 140, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 194, 140, 358 is 1
GCD(73, 194, 140, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 194, 140, 358 is 1
GCD(73, 194, 140, 358) = 1
Given Input numbers are 73, 194, 140, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 73, 194, 140, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 194, 140, 358 is 1.
Therefore, GCD of numbers 73, 194, 140, 358 is 1
Given Input Data is 73, 194, 140, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 194 is 2 x 97
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 358 is 2 x 179
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(73, 194) = 14162
GCD(73, 194) = ( 73 x 194 ) / 14162
GCD(73, 194) = 14162 / 14162
GCD(73, 194) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 73, 194, 140, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 194, 140, 358?
GCD of 73, 194, 140, 358 is 1
2. Where do I get the detailed procedure to find GCD of 73, 194, 140, 358?
You can find a detailed procedure to find GCD of 73, 194, 140, 358 on our page.
3. How to find GCD of 73, 194, 140, 358 on a calculator?
You can find the GCD of 73, 194, 140, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.