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 51, 755, 991, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 755, 991, 380 is 1
GCD(51, 755, 991, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 755, 991, 380 is 1
GCD(51, 755, 991, 380) = 1
Given Input numbers are 51, 755, 991, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 51, 755, 991, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 755, 991, 380 is 1.
Therefore, GCD of numbers 51, 755, 991, 380 is 1
Given Input Data is 51, 755, 991, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 755 is 5 x 151
Prime Factorization of 991 is 991
Prime Factorization of 380 is 2 x 2 x 5 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(51, 755) = 38505
GCD(51, 755) = ( 51 x 755 ) / 38505
GCD(51, 755) = 38505 / 38505
GCD(51, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 51, 755, 991, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 755, 991, 380?
GCD of 51, 755, 991, 380 is 1
2. Where do I get the detailed procedure to find GCD of 51, 755, 991, 380?
You can find a detailed procedure to find GCD of 51, 755, 991, 380 on our page.
3. How to find GCD of 51, 755, 991, 380 on a calculator?
You can find the GCD of 51, 755, 991, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.