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 381, 462, 49, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 462, 49, 964 is 1
GCD(381, 462, 49, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 462, 49, 964 is 1
GCD(381, 462, 49, 964) = 1
Given Input numbers are 381, 462, 49, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 381, 462, 49, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 462, 49, 964 is 1.
Therefore, GCD of numbers 381, 462, 49, 964 is 1
Given Input Data is 381, 462, 49, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 49 is 7 x 7
Prime Factorization of 964 is 2 x 2 x 241
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(381, 462) = 58674
GCD(381, 462) = ( 381 x 462 ) / 58674
GCD(381, 462) = 176022 / 58674
GCD(381, 462) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 49) = 147
GCD(3, 49) = ( 3 x 49 ) / 147
GCD(3, 49) = 147 / 147
GCD(3, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 381, 462, 49, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 462, 49, 964?
GCD of 381, 462, 49, 964 is 1
2. Where do I get the detailed procedure to find GCD of 381, 462, 49, 964?
You can find a detailed procedure to find GCD of 381, 462, 49, 964 on our page.
3. How to find GCD of 381, 462, 49, 964 on a calculator?
You can find the GCD of 381, 462, 49, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.