GCD of 725, 480, 91, 953 Calculator

Given Input numbers are 725, 480, 91, 953

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 725, 480, 91, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 480, 91, 953 is 1.

Therefore, GCD of numbers 725, 480, 91, 953 is 1

Given Input Data is 725, 480, 91, 953

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

Prime Factorization of 725 is 5 x 5 x 29

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 953 is 953

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(725, 480) = 69600

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

GCD(725, 480) = 348000 / 69600

GCD(725, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 91

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

LCM(5, 91) = 455

GCD(5, 91) = ( 5 x 91 ) / 455

GCD(5, 91) = 455 / 455

GCD(5, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 725, 480, 91, 953 is 1

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1. What is the GCD of 725, 480, 91, 953?

GCD of 725, 480, 91, 953 is 1

2. Where do I get the detailed procedure to find GCD of 725, 480, 91, 953?

You can find a detailed procedure to find GCD of 725, 480, 91, 953 on our page.

3. How to find GCD of 725, 480, 91, 953 on a calculator?

You can find the GCD of 725, 480, 91, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.