GCD of 98, 361, 823, 548 Calculator

Given Input numbers are 98, 361, 823, 548

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 98, 361, 823, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 361, 823, 548 is 1.

Therefore, GCD of numbers 98, 361, 823, 548 is 1

Given Input Data is 98, 361, 823, 548

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 361 is 19 x 19

Prime Factorization of 823 is 823

Prime Factorization of 548 is 2 x 2 x 137

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(98, 361) = 35378

GCD(98, 361) = ( 98 x 361 ) / 35378

GCD(98, 361) = 35378 / 35378

GCD(98, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 98, 361, 823, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 603, 655, 405
• GCD of 69, 237, 852, 995
• GCD of 24, 751, 982, 550
• GCD of 26, 935, 994, 633
• GCD of 87, 309, 968, 918

1. What is the GCD of 98, 361, 823, 548?

GCD of 98, 361, 823, 548 is 1

2. Where do I get the detailed procedure to find GCD of 98, 361, 823, 548?

You can find a detailed procedure to find GCD of 98, 361, 823, 548 on our page.

3. How to find GCD of 98, 361, 823, 548 on a calculator?

You can find the GCD of 98, 361, 823, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.