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 513, 888, 376, 719 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 888, 376, 719 is 1
GCD(513, 888, 376, 719) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 888, 376, 719 is 1
GCD(513, 888, 376, 719) = 1
Given Input numbers are 513, 888, 376, 719
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Greatest Common Divisior
We found the divisors of 513, 888, 376, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 888, 376, 719 is 1.
Therefore, GCD of numbers 513, 888, 376, 719 is 1
Given Input Data is 513, 888, 376, 719
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 719 is 719
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(513, 888) = 151848
GCD(513, 888) = ( 513 x 888 ) / 151848
GCD(513, 888) = 455544 / 151848
GCD(513, 888) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 376) = 1128
GCD(3, 376) = ( 3 x 376 ) / 1128
GCD(3, 376) = 1128 / 1128
GCD(3, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 719
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 719) = 719
GCD(1, 719) = ( 1 x 719 ) / 719
GCD(1, 719) = 719 / 719
GCD(1, 719) = 1
GCD of 513, 888, 376, 719 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 888, 376, 719?
GCD of 513, 888, 376, 719 is 1
2. Where do I get the detailed procedure to find GCD of 513, 888, 376, 719?
You can find a detailed procedure to find GCD of 513, 888, 376, 719 on our page.
3. How to find GCD of 513, 888, 376, 719 on a calculator?
You can find the GCD of 513, 888, 376, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.