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 446, 334, 149, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 446, 334, 149, 949 is 1
GCD(446, 334, 149, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 446, 334, 149, 949 is 1
GCD(446, 334, 149, 949) = 1
Given Input numbers are 446, 334, 149, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 446, 334, 149, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 334, 149, 949 is 1.
Therefore, GCD of numbers 446, 334, 149, 949 is 1
Given Input Data is 446, 334, 149, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 446 is 2 x 223
Prime Factorization of 334 is 2 x 167
Prime Factorization of 149 is 149
Prime Factorization of 949 is 13 x 73
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(446, 334) = 74482
GCD(446, 334) = ( 446 x 334 ) / 74482
GCD(446, 334) = 148964 / 74482
GCD(446, 334) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
GCD(2, 149) = 298 / 298
GCD(2, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 446, 334, 149, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 446, 334, 149, 949?
GCD of 446, 334, 149, 949 is 1
2. Where do I get the detailed procedure to find GCD of 446, 334, 149, 949?
You can find a detailed procedure to find GCD of 446, 334, 149, 949 on our page.
3. How to find GCD of 446, 334, 149, 949 on a calculator?
You can find the GCD of 446, 334, 149, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.