GCD of 758, 842, 159, 546 Calculator

Given Input numbers are 758, 842, 159, 546

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 842

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

1, 2, 421, 842

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 758, 842, 159, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 842, 159, 546 is 1.

Therefore, GCD of numbers 758, 842, 159, 546 is 1

Given Input Data is 758, 842, 159, 546

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 842 is 2 x 421

Prime Factorization of 159 is 3 x 53

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(758, 842) = 319118

GCD(758, 842) = ( 758 x 842 ) / 319118

GCD(758, 842) = 638236 / 319118

GCD(758, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 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 758, 842, 159, 546 is 1

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1. What is the GCD of 758, 842, 159, 546?

GCD of 758, 842, 159, 546 is 1

2. Where do I get the detailed procedure to find GCD of 758, 842, 159, 546?

You can find a detailed procedure to find GCD of 758, 842, 159, 546 on our page.

3. How to find GCD of 758, 842, 159, 546 on a calculator?

You can find the GCD of 758, 842, 159, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.