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 910, 131, 51, 584 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 131, 51, 584 is 1
GCD(910, 131, 51, 584) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 131, 51, 584 is 1
GCD(910, 131, 51, 584) = 1
Given Input numbers are 910, 131, 51, 584
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Greatest Common Divisior
We found the divisors of 910, 131, 51, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 131, 51, 584 is 1.
Therefore, GCD of numbers 910, 131, 51, 584 is 1
Given Input Data is 910, 131, 51, 584
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 131 is 131
Prime Factorization of 51 is 3 x 17
Prime Factorization of 584 is 2 x 2 x 2 x 73
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(910, 131) = 119210
GCD(910, 131) = ( 910 x 131 ) / 119210
GCD(910, 131) = 119210 / 119210
GCD(910, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
GCD of 910, 131, 51, 584 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 131, 51, 584?
GCD of 910, 131, 51, 584 is 1
2. Where do I get the detailed procedure to find GCD of 910, 131, 51, 584?
You can find a detailed procedure to find GCD of 910, 131, 51, 584 on our page.
3. How to find GCD of 910, 131, 51, 584 on a calculator?
You can find the GCD of 910, 131, 51, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.