GCD of 264, 407, 175 Calculator

Given Input numbers are 264, 407, 175

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 264, 407, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 407, 175 is 1.

Therefore, GCD of numbers 264, 407, 175 is 1

Given Input Data is 264, 407, 175

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 407 is 11 x 37

Prime Factorization of 175 is 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(264, 407) = 9768

GCD(264, 407) = ( 264 x 407 ) / 9768

GCD(264, 407) = 107448 / 9768

GCD(264, 407) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 175

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

LCM(11, 175) = 1925

GCD(11, 175) = ( 11 x 175 ) / 1925

GCD(11, 175) = 1925 / 1925

GCD(11, 175) = 1

GCD of 264, 407, 175 is 1

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1. What is the GCD of 264, 407, 175?

GCD of 264, 407, 175 is 1

2. Where do I get the detailed procedure to find GCD of 264, 407, 175?

You can find a detailed procedure to find GCD of 264, 407, 175 on our page.

3. How to find GCD of 264, 407, 175 on a calculator?

You can find the GCD of 264, 407, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.