GCD of 725, 966, 78, 703 Calculator

Given Input numbers are 725, 966, 78, 703

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 725, 966, 78, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 966, 78, 703 is 1.

Therefore, GCD of numbers 725, 966, 78, 703 is 1

Given Input Data is 725, 966, 78, 703

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 966 is 2 x 3 x 7 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 703 is 19 x 37

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, 966) = 700350

GCD(725, 966) = ( 725 x 966 ) / 700350

GCD(725, 966) = 700350 / 700350

GCD(725, 966) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 725, 966, 78, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 777, 89, 427
• GCD of 844, 815, 29, 447
• GCD of 369, 495, 23, 141
• GCD of 494, 533, 89, 400
• GCD of 441, 974, 83, 474

1. What is the GCD of 725, 966, 78, 703?

GCD of 725, 966, 78, 703 is 1

2. Where do I get the detailed procedure to find GCD of 725, 966, 78, 703?

You can find a detailed procedure to find GCD of 725, 966, 78, 703 on our page.

3. How to find GCD of 725, 966, 78, 703 on a calculator?

You can find the GCD of 725, 966, 78, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.