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, 292, 65, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 292, 65, 988 is 1
GCD(381, 292, 65, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 292, 65, 988 is 1
GCD(381, 292, 65, 988) = 1
Given Input numbers are 381, 292, 65, 988
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 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Greatest Common Divisior
We found the divisors of 381, 292, 65, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 292, 65, 988 is 1.
Therefore, GCD of numbers 381, 292, 65, 988 is 1
Given Input Data is 381, 292, 65, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 65 is 5 x 13
Prime Factorization of 988 is 2 x 2 x 13 x 19
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, 292) = 111252
GCD(381, 292) = ( 381 x 292 ) / 111252
GCD(381, 292) = 111252 / 111252
GCD(381, 292) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 381, 292, 65, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 292, 65, 988?
GCD of 381, 292, 65, 988 is 1
2. Where do I get the detailed procedure to find GCD of 381, 292, 65, 988?
You can find a detailed procedure to find GCD of 381, 292, 65, 988 on our page.
3. How to find GCD of 381, 292, 65, 988 on a calculator?
You can find the GCD of 381, 292, 65, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.