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 399, 151, 976, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 399, 151, 976, 149 is 1
GCD(399, 151, 976, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 151, 976, 149 is 1
GCD(399, 151, 976, 149) = 1
Given Input numbers are 399, 151, 976, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 399, 151, 976, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 151, 976, 149 is 1.
Therefore, GCD of numbers 399, 151, 976, 149 is 1
Given Input Data is 399, 151, 976, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 151 is 151
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 149 is 149
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(399, 151) = 60249
GCD(399, 151) = ( 399 x 151 ) / 60249
GCD(399, 151) = 60249 / 60249
GCD(399, 151) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
Step3:
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
GCD of 399, 151, 976, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 151, 976, 149?
GCD of 399, 151, 976, 149 is 1
2. Where do I get the detailed procedure to find GCD of 399, 151, 976, 149?
You can find a detailed procedure to find GCD of 399, 151, 976, 149 on our page.
3. How to find GCD of 399, 151, 976, 149 on a calculator?
You can find the GCD of 399, 151, 976, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.