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 675, 743, 92, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 743, 92, 194 is 1
GCD(675, 743, 92, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 743, 92, 194 is 1
GCD(675, 743, 92, 194) = 1
Given Input numbers are 675, 743, 92, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
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 675, 743, 92, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 743, 92, 194 is 1.
Therefore, GCD of numbers 675, 743, 92, 194 is 1
Given Input Data is 675, 743, 92, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 743 is 743
Prime Factorization of 92 is 2 x 2 x 23
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(675, 743) = 501525
GCD(675, 743) = ( 675 x 743 ) / 501525
GCD(675, 743) = 501525 / 501525
GCD(675, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 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 675, 743, 92, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 743, 92, 194?
GCD of 675, 743, 92, 194 is 1
2. Where do I get the detailed procedure to find GCD of 675, 743, 92, 194?
You can find a detailed procedure to find GCD of 675, 743, 92, 194 on our page.
3. How to find GCD of 675, 743, 92, 194 on a calculator?
You can find the GCD of 675, 743, 92, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.