GCD of 578, 624, 941, 298 Calculator

Given Input numbers are 578, 624, 941, 298

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 578, 624, 941, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 624, 941, 298 is 1.

Therefore, GCD of numbers 578, 624, 941, 298 is 1

Given Input Data is 578, 624, 941, 298

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 941 is 941

Prime Factorization of 298 is 2 x 149

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(578, 624) = 180336

GCD(578, 624) = ( 578 x 624 ) / 180336

GCD(578, 624) = 360672 / 180336

GCD(578, 624) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 941

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

LCM(2, 941) = 1882

GCD(2, 941) = ( 2 x 941 ) / 1882

GCD(2, 941) = 1882 / 1882

GCD(2, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 578, 624, 941, 298 is 1

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1. What is the GCD of 578, 624, 941, 298?

GCD of 578, 624, 941, 298 is 1

2. Where do I get the detailed procedure to find GCD of 578, 624, 941, 298?

You can find a detailed procedure to find GCD of 578, 624, 941, 298 on our page.

3. How to find GCD of 578, 624, 941, 298 on a calculator?

You can find the GCD of 578, 624, 941, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.