GCD of 25, 498, 402, 525 Calculator

Given Input numbers are 25, 498, 402, 525

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 25, 498, 402, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 498, 402, 525 is 1.

Therefore, GCD of numbers 25, 498, 402, 525 is 1

Given Input Data is 25, 498, 402, 525

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 525 is 3 x 5 x 5 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(25, 498) = 12450

GCD(25, 498) = ( 25 x 498 ) / 12450

GCD(25, 498) = 12450 / 12450

GCD(25, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 25, 498, 402, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 660, 164, 263
• GCD of 57, 529, 728, 785
• GCD of 31, 690, 876, 963
• GCD of 18, 120, 978, 737
• GCD of 57, 567, 867, 866

1. What is the GCD of 25, 498, 402, 525?

GCD of 25, 498, 402, 525 is 1

2. Where do I get the detailed procedure to find GCD of 25, 498, 402, 525?

You can find a detailed procedure to find GCD of 25, 498, 402, 525 on our page.

3. How to find GCD of 25, 498, 402, 525 on a calculator?

You can find the GCD of 25, 498, 402, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.