GCD of 498, 525, 41, 857 Calculator

Given Input numbers are 498, 525, 41, 857

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

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 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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 498, 525, 41, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 525, 41, 857 is 1.

Therefore, GCD of numbers 498, 525, 41, 857 is 1

Given Input Data is 498, 525, 41, 857

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 41 is 41

Prime Factorization of 857 is 857

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(498, 525) = 87150

GCD(498, 525) = ( 498 x 525 ) / 87150

GCD(498, 525) = 261450 / 87150

GCD(498, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 498, 525, 41, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 802, 63, 271
• GCD of 884, 786, 53, 372
• GCD of 854, 481, 32, 189
• GCD of 256, 888, 26, 908
• GCD of 589, 878, 33, 490

1. What is the GCD of 498, 525, 41, 857?

GCD of 498, 525, 41, 857 is 1

2. Where do I get the detailed procedure to find GCD of 498, 525, 41, 857?

You can find a detailed procedure to find GCD of 498, 525, 41, 857 on our page.

3. How to find GCD of 498, 525, 41, 857 on a calculator?

You can find the GCD of 498, 525, 41, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.