GCD of 254, 299, 531, 712 Calculator

Given Input numbers are 254, 299, 531, 712

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 712

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

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

Greatest Common Divisior

We found the divisors of 254, 299, 531, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 299, 531, 712 is 1.

Therefore, GCD of numbers 254, 299, 531, 712 is 1

Given Input Data is 254, 299, 531, 712

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 299 is 13 x 23

Prime Factorization of 531 is 3 x 3 x 59

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

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(254, 299) = 75946

GCD(254, 299) = ( 254 x 299 ) / 75946

GCD(254, 299) = 75946 / 75946

GCD(254, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 254, 299, 531, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 248, 794, 529
• GCD of 126, 435, 217, 413
• GCD of 846, 545, 306, 484
• GCD of 559, 118, 899, 764
• GCD of 267, 917, 988, 632

1. What is the GCD of 254, 299, 531, 712?

GCD of 254, 299, 531, 712 is 1

2. Where do I get the detailed procedure to find GCD of 254, 299, 531, 712?

You can find a detailed procedure to find GCD of 254, 299, 531, 712 on our page.

3. How to find GCD of 254, 299, 531, 712 on a calculator?

You can find the GCD of 254, 299, 531, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.