GCD of 480, 725, 32, 707 Calculator

Given Input numbers are 480, 725, 32, 707

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

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 480, 725, 32, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 725, 32, 707 is 1.

Therefore, GCD of numbers 480, 725, 32, 707 is 1

Given Input Data is 480, 725, 32, 707

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

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 707 is 7 x 101

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(480, 725) = 69600

GCD(480, 725) = ( 480 x 725 ) / 69600

GCD(480, 725) = 348000 / 69600

GCD(480, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 32

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

LCM(5, 32) = 160

GCD(5, 32) = ( 5 x 32 ) / 160

GCD(5, 32) = 160 / 160

GCD(5, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 480, 725, 32, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 252, 86, 132
• GCD of 674, 251, 60, 762
• GCD of 550, 634, 43, 966
• GCD of 241, 513, 79, 565
• GCD of 216, 814, 53, 546

1. What is the GCD of 480, 725, 32, 707?

GCD of 480, 725, 32, 707 is 1

2. Where do I get the detailed procedure to find GCD of 480, 725, 32, 707?

You can find a detailed procedure to find GCD of 480, 725, 32, 707 on our page.

3. How to find GCD of 480, 725, 32, 707 on a calculator?

You can find the GCD of 480, 725, 32, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.