GCD of 910, 131, 51, 584 Calculator

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

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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.