GCD of 270, 757, 86, 538 Calculator

Given Input numbers are 270, 757, 86, 538

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 270, 757, 86, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 757, 86, 538 is 1.

Therefore, GCD of numbers 270, 757, 86, 538 is 1

Given Input Data is 270, 757, 86, 538

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 757 is 757

Prime Factorization of 86 is 2 x 43

Prime Factorization of 538 is 2 x 269

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(270, 757) = 204390

GCD(270, 757) = ( 270 x 757 ) / 204390

GCD(270, 757) = 204390 / 204390

GCD(270, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 270, 757, 86, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 276, 18, 151
• GCD of 220, 256, 70, 408
• GCD of 531, 319, 53, 125
• GCD of 914, 400, 93, 319
• GCD of 719, 543, 88, 124

1. What is the GCD of 270, 757, 86, 538?

GCD of 270, 757, 86, 538 is 1

2. Where do I get the detailed procedure to find GCD of 270, 757, 86, 538?

You can find a detailed procedure to find GCD of 270, 757, 86, 538 on our page.

3. How to find GCD of 270, 757, 86, 538 on a calculator?

You can find the GCD of 270, 757, 86, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.