GCD of 725, 471, 49, 882 Calculator

Given Input numbers are 725, 471, 49, 882

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 725, 471, 49, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 471, 49, 882 is 1.

Therefore, GCD of numbers 725, 471, 49, 882 is 1

Given Input Data is 725, 471, 49, 882

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 471 is 3 x 157

Prime Factorization of 49 is 7 x 7

Prime Factorization of 882 is 2 x 3 x 3 x 7 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(725, 471) = 341475

GCD(725, 471) = ( 725 x 471 ) / 341475

GCD(725, 471) = 341475 / 341475

GCD(725, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 725, 471, 49, 882 is 1

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1. What is the GCD of 725, 471, 49, 882?

GCD of 725, 471, 49, 882 is 1

2. Where do I get the detailed procedure to find GCD of 725, 471, 49, 882?

You can find a detailed procedure to find GCD of 725, 471, 49, 882 on our page.

3. How to find GCD of 725, 471, 49, 882 on a calculator?

You can find the GCD of 725, 471, 49, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.