GCD of 574, 862, 53, 678 Calculator

Given Input numbers are 574, 862, 53, 678

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 53

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

1, 53

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 574, 862, 53, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 862, 53, 678 is 1.

Therefore, GCD of numbers 574, 862, 53, 678 is 1

Given Input Data is 574, 862, 53, 678

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 862 is 2 x 431

Prime Factorization of 53 is 53

Prime Factorization of 678 is 2 x 3 x 113

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(574, 862) = 247394

GCD(574, 862) = ( 574 x 862 ) / 247394

GCD(574, 862) = 494788 / 247394

GCD(574, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 574, 862, 53, 678 is 1

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1. What is the GCD of 574, 862, 53, 678?

GCD of 574, 862, 53, 678 is 1

2. Where do I get the detailed procedure to find GCD of 574, 862, 53, 678?

You can find a detailed procedure to find GCD of 574, 862, 53, 678 on our page.

3. How to find GCD of 574, 862, 53, 678 on a calculator?

You can find the GCD of 574, 862, 53, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.