GCD of 414, 498, 49, 202 Calculator

Given Input numbers are 414, 498, 49, 202

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 414, 498, 49, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 498, 49, 202 is 1.

Therefore, GCD of numbers 414, 498, 49, 202 is 1

Given Input Data is 414, 498, 49, 202

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 49 is 7 x 7

Prime Factorization of 202 is 2 x 101

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(414, 498) = 34362

GCD(414, 498) = ( 414 x 498 ) / 34362

GCD(414, 498) = 206172 / 34362

GCD(414, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 49

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

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

GCD(6, 49) = 294 / 294

GCD(6, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 414, 498, 49, 202 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 184, 67, 935
• GCD of 659, 408, 41, 729
• GCD of 525, 443, 29, 731
• GCD of 554, 763, 97, 377
• GCD of 424, 539, 72, 654

1. What is the GCD of 414, 498, 49, 202?

GCD of 414, 498, 49, 202 is 1

2. Where do I get the detailed procedure to find GCD of 414, 498, 49, 202?

You can find a detailed procedure to find GCD of 414, 498, 49, 202 on our page.

3. How to find GCD of 414, 498, 49, 202 on a calculator?

You can find the GCD of 414, 498, 49, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.