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 319, 953, 65, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 953, 65, 550 is 1
GCD(319, 953, 65, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 953, 65, 550 is 1
GCD(319, 953, 65, 550) = 1
Given Input numbers are 319, 953, 65, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 319, 953, 65, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 953, 65, 550 is 1.
Therefore, GCD of numbers 319, 953, 65, 550 is 1
Given Input Data is 319, 953, 65, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 953 is 953
Prime Factorization of 65 is 5 x 13
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(319, 953) = 304007
GCD(319, 953) = ( 319 x 953 ) / 304007
GCD(319, 953) = 304007 / 304007
GCD(319, 953) = 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 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 319, 953, 65, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 953, 65, 550?
GCD of 319, 953, 65, 550 is 1
2. Where do I get the detailed procedure to find GCD of 319, 953, 65, 550?
You can find a detailed procedure to find GCD of 319, 953, 65, 550 on our page.
3. How to find GCD of 319, 953, 65, 550 on a calculator?
You can find the GCD of 319, 953, 65, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.