GCD of 25, 268, 716, 502 Calculator

Given Input numbers are 25, 268, 716, 502

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

Divisors of 25

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

1, 5, 25

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 25, 268, 716, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 268, 716, 502 is 1.

Therefore, GCD of numbers 25, 268, 716, 502 is 1

Given Input Data is 25, 268, 716, 502

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 716 is 2 x 2 x 179

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(25, 268) = 6700

GCD(25, 268) = ( 25 x 268 ) / 6700

GCD(25, 268) = 6700 / 6700

GCD(25, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 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 25, 268, 716, 502 is 1

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1. What is the GCD of 25, 268, 716, 502?

GCD of 25, 268, 716, 502 is 1

2. Where do I get the detailed procedure to find GCD of 25, 268, 716, 502?

You can find a detailed procedure to find GCD of 25, 268, 716, 502 on our page.

3. How to find GCD of 25, 268, 716, 502 on a calculator?

You can find the GCD of 25, 268, 716, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.