GCD of 287, 777, 712, 584 Calculator

Given Input numbers are 287, 777, 712, 584

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 287, 777, 712, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 777, 712, 584 is 1.

Therefore, GCD of numbers 287, 777, 712, 584 is 1

Given Input Data is 287, 777, 712, 584

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 287 is 7 x 41

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(287, 777) = 31857

GCD(287, 777) = ( 287 x 777 ) / 31857

GCD(287, 777) = 222999 / 31857

GCD(287, 777) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 712

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 712) = 4984

GCD(7, 712) = ( 7 x 712 ) / 4984

GCD(7, 712) = 4984 / 4984

GCD(7, 712) = 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 287, 777, 712, 584 is 1

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1. What is the GCD of 287, 777, 712, 584?

GCD of 287, 777, 712, 584 is 1

2. Where do I get the detailed procedure to find GCD of 287, 777, 712, 584?

You can find a detailed procedure to find GCD of 287, 777, 712, 584 on our page.

3. How to find GCD of 287, 777, 712, 584 on a calculator?

You can find the GCD of 287, 777, 712, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.