GCD of 463, 414, 49, 236 Calculator

Given Input numbers are 463, 414, 49, 236

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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 49

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

1, 7, 49

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 463, 414, 49, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 414, 49, 236 is 1.

Therefore, GCD of numbers 463, 414, 49, 236 is 1

Given Input Data is 463, 414, 49, 236

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

Prime Factorization of 463 is 463

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 236 is 2 x 2 x 59

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(463, 414) = 191682

GCD(463, 414) = ( 463 x 414 ) / 191682

GCD(463, 414) = 191682 / 191682

GCD(463, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 463, 414, 49, 236 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 911, 44, 629
• GCD of 153, 684, 42, 171
• GCD of 718, 400, 39, 944
• GCD of 740, 666, 25, 233
• GCD of 581, 349, 30, 465

1. What is the GCD of 463, 414, 49, 236?

GCD of 463, 414, 49, 236 is 1

2. Where do I get the detailed procedure to find GCD of 463, 414, 49, 236?

You can find a detailed procedure to find GCD of 463, 414, 49, 236 on our page.

3. How to find GCD of 463, 414, 49, 236 on a calculator?

You can find the GCD of 463, 414, 49, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.