GCD of 235, 687, 48, 270 Calculator

Given Input numbers are 235, 687, 48, 270

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Greatest Common Divisior

We found the divisors of 235, 687, 48, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 687, 48, 270 is 1.

Therefore, GCD of numbers 235, 687, 48, 270 is 1

Given Input Data is 235, 687, 48, 270

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 687 is 3 x 229

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

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(235, 687) = 161445

GCD(235, 687) = ( 235 x 687 ) / 161445

GCD(235, 687) = 161445 / 161445

GCD(235, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 235, 687, 48, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 190, 40, 358
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• GCD of 268, 758, 24, 353
• GCD of 865, 881, 69, 621
• GCD of 233, 717, 60, 627

1. What is the GCD of 235, 687, 48, 270?

GCD of 235, 687, 48, 270 is 1

2. Where do I get the detailed procedure to find GCD of 235, 687, 48, 270?

You can find a detailed procedure to find GCD of 235, 687, 48, 270 on our page.

3. How to find GCD of 235, 687, 48, 270 on a calculator?

You can find the GCD of 235, 687, 48, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.