GCD of 98, 418, 601, 105 Calculator

Given Input numbers are 98, 418, 601, 105

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 98, 418, 601, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 418, 601, 105 is 1.

Therefore, GCD of numbers 98, 418, 601, 105 is 1

Given Input Data is 98, 418, 601, 105

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 418 is 2 x 11 x 19

Prime Factorization of 601 is 601

Prime Factorization of 105 is 3 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(98, 418) = 20482

GCD(98, 418) = ( 98 x 418 ) / 20482

GCD(98, 418) = 40964 / 20482

GCD(98, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 601

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

LCM(2, 601) = 1202

GCD(2, 601) = ( 2 x 601 ) / 1202

GCD(2, 601) = 1202 / 1202

GCD(2, 601) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 98, 418, 601, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 215, 178, 940
• GCD of 83, 121, 501, 970
• GCD of 81, 971, 864, 825
• GCD of 71, 929, 714, 419
• GCD of 84, 882, 621, 302

1. What is the GCD of 98, 418, 601, 105?

GCD of 98, 418, 601, 105 is 1

2. Where do I get the detailed procedure to find GCD of 98, 418, 601, 105?

You can find a detailed procedure to find GCD of 98, 418, 601, 105 on our page.

3. How to find GCD of 98, 418, 601, 105 on a calculator?

You can find the GCD of 98, 418, 601, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.