GCD of 495, 644, 348, 914 Calculator

Given Input numbers are 495, 644, 348, 914

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 495, 644, 348, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 644, 348, 914 is 1.

Therefore, GCD of numbers 495, 644, 348, 914 is 1

Given Input Data is 495, 644, 348, 914

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 914 is 2 x 457

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(495, 644) = 318780

GCD(495, 644) = ( 495 x 644 ) / 318780

GCD(495, 644) = 318780 / 318780

GCD(495, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 495, 644, 348, 914 is 1

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1. What is the GCD of 495, 644, 348, 914?

GCD of 495, 644, 348, 914 is 1

2. Where do I get the detailed procedure to find GCD of 495, 644, 348, 914?

You can find a detailed procedure to find GCD of 495, 644, 348, 914 on our page.

3. How to find GCD of 495, 644, 348, 914 on a calculator?

You can find the GCD of 495, 644, 348, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.