GCD of 724, 322, 25, 502 Calculator

Given Input numbers are 724, 322, 25, 502

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 724, 322, 25, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 322, 25, 502 is 1.

Therefore, GCD of numbers 724, 322, 25, 502 is 1

Given Input Data is 724, 322, 25, 502

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 25 is 5 x 5

Prime Factorization of 502 is 2 x 251

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(724, 322) = 116564

GCD(724, 322) = ( 724 x 322 ) / 116564

GCD(724, 322) = 233128 / 116564

GCD(724, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 724, 322, 25, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 990, 30, 214
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• GCD of 972, 102, 21, 791
• GCD of 184, 803, 43, 128
• GCD of 850, 639, 10, 435

1. What is the GCD of 724, 322, 25, 502?

GCD of 724, 322, 25, 502 is 1

2. Where do I get the detailed procedure to find GCD of 724, 322, 25, 502?

You can find a detailed procedure to find GCD of 724, 322, 25, 502 on our page.

3. How to find GCD of 724, 322, 25, 502 on a calculator?

You can find the GCD of 724, 322, 25, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.