GCD of 567, 538, 257, 708 Calculator

Given Input numbers are 567, 538, 257, 708

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 567, 538, 257, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 538, 257, 708 is 1.

Therefore, GCD of numbers 567, 538, 257, 708 is 1

Given Input Data is 567, 538, 257, 708

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 257 is 257

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(567, 538) = 305046

GCD(567, 538) = ( 567 x 538 ) / 305046

GCD(567, 538) = 305046 / 305046

GCD(567, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 567, 538, 257, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 487, 300, 898
• GCD of 928, 814, 535, 714
• GCD of 665, 974, 522, 519
• GCD of 265, 356, 568, 459
• GCD of 205, 952, 715, 553

1. What is the GCD of 567, 538, 257, 708?

GCD of 567, 538, 257, 708 is 1

2. Where do I get the detailed procedure to find GCD of 567, 538, 257, 708?

You can find a detailed procedure to find GCD of 567, 538, 257, 708 on our page.

3. How to find GCD of 567, 538, 257, 708 on a calculator?

You can find the GCD of 567, 538, 257, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.