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 259, 560, 50, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 560, 50, 777 is 1
GCD(259, 560, 50, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 560, 50, 777 is 1
GCD(259, 560, 50, 777) = 1
Given Input numbers are 259, 560, 50, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 259, 560, 50, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 560, 50, 777 is 1.
Therefore, GCD of numbers 259, 560, 50, 777 is 1
Given Input Data is 259, 560, 50, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 777 is 3 x 7 x 37
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(259, 560) = 20720
GCD(259, 560) = ( 259 x 560 ) / 20720
GCD(259, 560) = 145040 / 20720
GCD(259, 560) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 50) = 350
GCD(7, 50) = ( 7 x 50 ) / 350
GCD(7, 50) = 350 / 350
GCD(7, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 259, 560, 50, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 560, 50, 777?
GCD of 259, 560, 50, 777 is 1
2. Where do I get the detailed procedure to find GCD of 259, 560, 50, 777?
You can find a detailed procedure to find GCD of 259, 560, 50, 777 on our page.
3. How to find GCD of 259, 560, 50, 777 on a calculator?
You can find the GCD of 259, 560, 50, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.