GCD of 584, 868, 53, 343 Calculator

Given Input numbers are 584, 868, 53, 343

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 584, 868, 53, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 868, 53, 343 is 1.

Therefore, GCD of numbers 584, 868, 53, 343 is 1

Given Input Data is 584, 868, 53, 343

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 53 is 53

Prime Factorization of 343 is 7 x 7 x 7

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(584, 868) = 126728

GCD(584, 868) = ( 584 x 868 ) / 126728

GCD(584, 868) = 506912 / 126728

GCD(584, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 584, 868, 53, 343 is 1

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1. What is the GCD of 584, 868, 53, 343?

GCD of 584, 868, 53, 343 is 1

2. Where do I get the detailed procedure to find GCD of 584, 868, 53, 343?

You can find a detailed procedure to find GCD of 584, 868, 53, 343 on our page.

3. How to find GCD of 584, 868, 53, 343 on a calculator?

You can find the GCD of 584, 868, 53, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.