GCD of 175, 532, 480 Calculator

Given Input numbers are 175, 532, 480

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

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 175, 532, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 532, 480 is 1.

Therefore, GCD of numbers 175, 532, 480 is 1

Given Input Data is 175, 532, 480

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(175, 532) = 13300

GCD(175, 532) = ( 175 x 532 ) / 13300

GCD(175, 532) = 93100 / 13300

GCD(175, 532) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 480

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

LCM(7, 480) = 3360

GCD(7, 480) = ( 7 x 480 ) / 3360

GCD(7, 480) = 3360 / 3360

GCD(7, 480) = 1

GCD of 175, 532, 480 is 1

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1. What is the GCD of 175, 532, 480?

GCD of 175, 532, 480 is 1

2. Where do I get the detailed procedure to find GCD of 175, 532, 480?

You can find a detailed procedure to find GCD of 175, 532, 480 on our page.

3. How to find GCD of 175, 532, 480 on a calculator?

You can find the GCD of 175, 532, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.