GCD of 364, 540, 925 Calculator

Given Input numbers are 364, 540, 925

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 364, 540, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 540, 925 is 1.

Therefore, GCD of numbers 364, 540, 925 is 1

Given Input Data is 364, 540, 925

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 925 is 5 x 5 x 37

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(364, 540) = 49140

GCD(364, 540) = ( 364 x 540 ) / 49140

GCD(364, 540) = 196560 / 49140

GCD(364, 540) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 925

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

LCM(4, 925) = 3700

GCD(4, 925) = ( 4 x 925 ) / 3700

GCD(4, 925) = 3700 / 3700

GCD(4, 925) = 1

GCD of 364, 540, 925 is 1

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1. What is the GCD of 364, 540, 925?

GCD of 364, 540, 925 is 1

2. Where do I get the detailed procedure to find GCD of 364, 540, 925?

You can find a detailed procedure to find GCD of 364, 540, 925 on our page.

3. How to find GCD of 364, 540, 925 on a calculator?

You can find the GCD of 364, 540, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.