GCD of 540, 970, 265, 262 Calculator

Given Input numbers are 540, 970, 265, 262

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 540, 970, 265, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 970, 265, 262 is 1.

Therefore, GCD of numbers 540, 970, 265, 262 is 1

Given Input Data is 540, 970, 265, 262

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 265 is 5 x 53

Prime Factorization of 262 is 2 x 131

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(540, 970) = 52380

GCD(540, 970) = ( 540 x 970 ) / 52380

GCD(540, 970) = 523800 / 52380

GCD(540, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 265

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

LCM(10, 265) = 530

GCD(10, 265) = ( 10 x 265 ) / 530

GCD(10, 265) = 2650 / 530

GCD(10, 265) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 262

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

LCM(5, 262) = 1310

GCD(5, 262) = ( 5 x 262 ) / 1310

GCD(5, 262) = 1310 / 1310

GCD(5, 262) = 1

GCD of 540, 970, 265, 262 is 1

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1. What is the GCD of 540, 970, 265, 262?

GCD of 540, 970, 265, 262 is 1

2. Where do I get the detailed procedure to find GCD of 540, 970, 265, 262?

You can find a detailed procedure to find GCD of 540, 970, 265, 262 on our page.

3. How to find GCD of 540, 970, 265, 262 on a calculator?

You can find the GCD of 540, 970, 265, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.