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 59, 969, 783, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 969, 783, 775 is 1
GCD(59, 969, 783, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 969, 783, 775 is 1
GCD(59, 969, 783, 775) = 1
Given Input numbers are 59, 969, 783, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 59, 969, 783, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 969, 783, 775 is 1.
Therefore, GCD of numbers 59, 969, 783, 775 is 1
Given Input Data is 59, 969, 783, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 775 is 5 x 5 x 31
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(59, 969) = 57171
GCD(59, 969) = ( 59 x 969 ) / 57171
GCD(59, 969) = 57171 / 57171
GCD(59, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 59, 969, 783, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 969, 783, 775?
GCD of 59, 969, 783, 775 is 1
2. Where do I get the detailed procedure to find GCD of 59, 969, 783, 775?
You can find a detailed procedure to find GCD of 59, 969, 783, 775 on our page.
3. How to find GCD of 59, 969, 783, 775 on a calculator?
You can find the GCD of 59, 969, 783, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.