GCD of 540, 299, 700 Calculator

Given Input numbers are 540, 299, 700

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 299

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

1, 13, 23, 299

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 540, 299, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 299, 700 is 1.

Therefore, GCD of numbers 540, 299, 700 is 1

Given Input Data is 540, 299, 700

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 299 is 13 x 23

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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, 299) = 161460

GCD(540, 299) = ( 540 x 299 ) / 161460

GCD(540, 299) = 161460 / 161460

GCD(540, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 540, 299, 700 is 1

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1. What is the GCD of 540, 299, 700?

GCD of 540, 299, 700 is 1

2. Where do I get the detailed procedure to find GCD of 540, 299, 700?

You can find a detailed procedure to find GCD of 540, 299, 700 on our page.

3. How to find GCD of 540, 299, 700 on a calculator?

You can find the GCD of 540, 299, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.