GCD of 755, 984, 558, 546 Calculator

Given Input numbers are 755, 984, 558, 546

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 755, 984, 558, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 984, 558, 546 is 1.

Therefore, GCD of numbers 755, 984, 558, 546 is 1

Given Input Data is 755, 984, 558, 546

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(755, 984) = 742920

GCD(755, 984) = ( 755 x 984 ) / 742920

GCD(755, 984) = 742920 / 742920

GCD(755, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 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 755, 984, 558, 546 is 1

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1. What is the GCD of 755, 984, 558, 546?

GCD of 755, 984, 558, 546 is 1

2. Where do I get the detailed procedure to find GCD of 755, 984, 558, 546?

You can find a detailed procedure to find GCD of 755, 984, 558, 546 on our page.

3. How to find GCD of 755, 984, 558, 546 on a calculator?

You can find the GCD of 755, 984, 558, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.