GCD of 644, 154, 477, 292 Calculator

Given Input numbers are 644, 154, 477, 292

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

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 644, 154, 477, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 154, 477, 292 is 1.

Therefore, GCD of numbers 644, 154, 477, 292 is 1

Given Input Data is 644, 154, 477, 292

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

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 292 is 2 x 2 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(644, 154) = 7084

GCD(644, 154) = ( 644 x 154 ) / 7084

GCD(644, 154) = 99176 / 7084

GCD(644, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 477

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

LCM(14, 477) = 6678

GCD(14, 477) = ( 14 x 477 ) / 6678

GCD(14, 477) = 6678 / 6678

GCD(14, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 644, 154, 477, 292 is 1

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• GCD of 589, 657, 684, 494
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1. What is the GCD of 644, 154, 477, 292?

GCD of 644, 154, 477, 292 is 1

2. Where do I get the detailed procedure to find GCD of 644, 154, 477, 292?

You can find a detailed procedure to find GCD of 644, 154, 477, 292 on our page.

3. How to find GCD of 644, 154, 477, 292 on a calculator?

You can find the GCD of 644, 154, 477, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.