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 313, 678, 149, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 313, 678, 149, 192 is 1
GCD(313, 678, 149, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 313, 678, 149, 192 is 1
GCD(313, 678, 149, 192) = 1
Given Input numbers are 313, 678, 149, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 313, 678, 149, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 678, 149, 192 is 1.
Therefore, GCD of numbers 313, 678, 149, 192 is 1
Given Input Data is 313, 678, 149, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 313 is 313
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 149 is 149
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
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(313, 678) = 212214
GCD(313, 678) = ( 313 x 678 ) / 212214
GCD(313, 678) = 212214 / 212214
GCD(313, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 313, 678, 149, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 313, 678, 149, 192?
GCD of 313, 678, 149, 192 is 1
2. Where do I get the detailed procedure to find GCD of 313, 678, 149, 192?
You can find a detailed procedure to find GCD of 313, 678, 149, 192 on our page.
3. How to find GCD of 313, 678, 149, 192 on a calculator?
You can find the GCD of 313, 678, 149, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.