GCD of 496, 421, 341, 365 Calculator

Given Input numbers are 496, 421, 341, 365

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 496, 421, 341, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 421, 341, 365 is 1.

Therefore, GCD of numbers 496, 421, 341, 365 is 1

Given Input Data is 496, 421, 341, 365

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 421 is 421

Prime Factorization of 341 is 11 x 31

Prime Factorization of 365 is 5 x 73

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(496, 421) = 208816

GCD(496, 421) = ( 496 x 421 ) / 208816

GCD(496, 421) = 208816 / 208816

GCD(496, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 496, 421, 341, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 678, 677, 196
• GCD of 840, 331, 198, 994
• GCD of 173, 722, 483, 513
• GCD of 670, 628, 928, 284
• GCD of 940, 383, 513, 420

1. What is the GCD of 496, 421, 341, 365?

GCD of 496, 421, 341, 365 is 1

2. Where do I get the detailed procedure to find GCD of 496, 421, 341, 365?

You can find a detailed procedure to find GCD of 496, 421, 341, 365 on our page.

3. How to find GCD of 496, 421, 341, 365 on a calculator?

You can find the GCD of 496, 421, 341, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.