GCD of 678, 842, 51, 546 Calculator

Given Input numbers are 678, 842, 51, 546

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

Divisors of 678

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

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 678, 842, 51, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 842, 51, 546 is 1.

Therefore, GCD of numbers 678, 842, 51, 546 is 1

Given Input Data is 678, 842, 51, 546

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 842 is 2 x 421

Prime Factorization of 51 is 3 x 17

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(678, 842) = 285438

GCD(678, 842) = ( 678 x 842 ) / 285438

GCD(678, 842) = 570876 / 285438

GCD(678, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 678, 842, 51, 546 is 1

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1. What is the GCD of 678, 842, 51, 546?

GCD of 678, 842, 51, 546 is 1

2. Where do I get the detailed procedure to find GCD of 678, 842, 51, 546?

You can find a detailed procedure to find GCD of 678, 842, 51, 546 on our page.

3. How to find GCD of 678, 842, 51, 546 on a calculator?

You can find the GCD of 678, 842, 51, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.