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 736, 194, 96, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 194, 96, 675 is 1
GCD(736, 194, 96, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 194, 96, 675 is 1
GCD(736, 194, 96, 675) = 1
Given Input numbers are 736, 194, 96, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
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 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
Greatest Common Divisior
We found the divisors of 736, 194, 96, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 194, 96, 675 is 1.
Therefore, GCD of numbers 736, 194, 96, 675 is 1
Given Input Data is 736, 194, 96, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 194 is 2 x 97
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(736, 194) = 71392
GCD(736, 194) = ( 736 x 194 ) / 71392
GCD(736, 194) = 142784 / 71392
GCD(736, 194) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 675) = 1350
GCD(2, 675) = ( 2 x 675 ) / 1350
GCD(2, 675) = 1350 / 1350
GCD(2, 675) = 1
GCD of 736, 194, 96, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 194, 96, 675?
GCD of 736, 194, 96, 675 is 1
2. Where do I get the detailed procedure to find GCD of 736, 194, 96, 675?
You can find a detailed procedure to find GCD of 736, 194, 96, 675 on our page.
3. How to find GCD of 736, 194, 96, 675 on a calculator?
You can find the GCD of 736, 194, 96, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.