GCD of 725, 803, 998, 766 Calculator

Given Input numbers are 725, 803, 998, 766

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 725, 803, 998, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 803, 998, 766 is 1.

Therefore, GCD of numbers 725, 803, 998, 766 is 1

Given Input Data is 725, 803, 998, 766

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 803 is 11 x 73

Prime Factorization of 998 is 2 x 499

Prime Factorization of 766 is 2 x 383

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, 803) = 582175

GCD(725, 803) = ( 725 x 803 ) / 582175

GCD(725, 803) = 582175 / 582175

GCD(725, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 725, 803, 998, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 759, 225, 523
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• GCD of 795, 719, 386, 617

1. What is the GCD of 725, 803, 998, 766?

GCD of 725, 803, 998, 766 is 1

2. Where do I get the detailed procedure to find GCD of 725, 803, 998, 766?

You can find a detailed procedure to find GCD of 725, 803, 998, 766 on our page.

3. How to find GCD of 725, 803, 998, 766 on a calculator?

You can find the GCD of 725, 803, 998, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.