GCD of 360, 925, 175, 576 Calculator

Given Input numbers are 360, 925, 175, 576

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 925

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

1, 5, 25, 37, 185, 925

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 360, 925, 175, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 925, 175, 576 is 1.

Therefore, GCD of numbers 360, 925, 175, 576 is 1

Given Input Data is 360, 925, 175, 576

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(360, 925) = 66600

GCD(360, 925) = ( 360 x 925 ) / 66600

GCD(360, 925) = 333000 / 66600

GCD(360, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 175

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

LCM(5, 175) = 175

GCD(5, 175) = ( 5 x 175 ) / 175

GCD(5, 175) = 875 / 175

GCD(5, 175) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 576

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

LCM(5, 576) = 2880

GCD(5, 576) = ( 5 x 576 ) / 2880

GCD(5, 576) = 2880 / 2880

GCD(5, 576) = 1

GCD of 360, 925, 175, 576 is 1

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• GCD of 457, 258, 618, 892
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• GCD of 329, 631, 555, 224

1. What is the GCD of 360, 925, 175, 576?

GCD of 360, 925, 175, 576 is 1

2. Where do I get the detailed procedure to find GCD of 360, 925, 175, 576?

You can find a detailed procedure to find GCD of 360, 925, 175, 576 on our page.

3. How to find GCD of 360, 925, 175, 576 on a calculator?

You can find the GCD of 360, 925, 175, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.