GCD of 287, 988, 51, 434 Calculator

Given Input numbers are 287, 988, 51, 434

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 287, 988, 51, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 988, 51, 434 is 1.

Therefore, GCD of numbers 287, 988, 51, 434 is 1

Given Input Data is 287, 988, 51, 434

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 434 is 2 x 7 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(287, 988) = 283556

GCD(287, 988) = ( 287 x 988 ) / 283556

GCD(287, 988) = 283556 / 283556

GCD(287, 988) = 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 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 287, 988, 51, 434 is 1

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1. What is the GCD of 287, 988, 51, 434?

GCD of 287, 988, 51, 434 is 1

2. Where do I get the detailed procedure to find GCD of 287, 988, 51, 434?

You can find a detailed procedure to find GCD of 287, 988, 51, 434 on our page.

3. How to find GCD of 287, 988, 51, 434 on a calculator?

You can find the GCD of 287, 988, 51, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.