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 194, 264, 19, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 194, 264, 19, 702 is 1
GCD(194, 264, 19, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 194, 264, 19, 702 is 1
GCD(194, 264, 19, 702) = 1
Given Input numbers are 194, 264, 19, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 194, 264, 19, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 264, 19, 702 is 1.
Therefore, GCD of numbers 194, 264, 19, 702 is 1
Given Input Data is 194, 264, 19, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 194 is 2 x 97
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 19 is 19
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(194, 264) = 25608
GCD(194, 264) = ( 194 x 264 ) / 25608
GCD(194, 264) = 51216 / 25608
GCD(194, 264) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 19) = 38
GCD(2, 19) = ( 2 x 19 ) / 38
GCD(2, 19) = 38 / 38
GCD(2, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 194, 264, 19, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 194, 264, 19, 702?
GCD of 194, 264, 19, 702 is 1
2. Where do I get the detailed procedure to find GCD of 194, 264, 19, 702?
You can find a detailed procedure to find GCD of 194, 264, 19, 702 on our page.
3. How to find GCD of 194, 264, 19, 702 on a calculator?
You can find the GCD of 194, 264, 19, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.