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 569, 914, 13, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 569, 914, 13, 931 is 1
GCD(569, 914, 13, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 569, 914, 13, 931 is 1
GCD(569, 914, 13, 931) = 1
Given Input numbers are 569, 914, 13, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 569, 914, 13, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 914, 13, 931 is 1.
Therefore, GCD of numbers 569, 914, 13, 931 is 1
Given Input Data is 569, 914, 13, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 569 is 569
Prime Factorization of 914 is 2 x 457
Prime Factorization of 13 is 13
Prime Factorization of 931 is 7 x 7 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(569, 914) = 520066
GCD(569, 914) = ( 569 x 914 ) / 520066
GCD(569, 914) = 520066 / 520066
GCD(569, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 569, 914, 13, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 569, 914, 13, 931?
GCD of 569, 914, 13, 931 is 1
2. Where do I get the detailed procedure to find GCD of 569, 914, 13, 931?
You can find a detailed procedure to find GCD of 569, 914, 13, 931 on our page.
3. How to find GCD of 569, 914, 13, 931 on a calculator?
You can find the GCD of 569, 914, 13, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.