GCD of 546, 483, 749, 880 Calculator

Given Input numbers are 546, 483, 749, 880

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

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 546, 483, 749, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 483, 749, 880 is 1.

Therefore, GCD of numbers 546, 483, 749, 880 is 1

Given Input Data is 546, 483, 749, 880

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

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 749 is 7 x 107

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(546, 483) = 12558

GCD(546, 483) = ( 546 x 483 ) / 12558

GCD(546, 483) = 263718 / 12558

GCD(546, 483) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 749

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

LCM(21, 749) = 2247

GCD(21, 749) = ( 21 x 749 ) / 2247

GCD(21, 749) = 15729 / 2247

GCD(21, 749) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 880

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

LCM(7, 880) = 6160

GCD(7, 880) = ( 7 x 880 ) / 6160

GCD(7, 880) = 6160 / 6160

GCD(7, 880) = 1

GCD of 546, 483, 749, 880 is 1

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1. What is the GCD of 546, 483, 749, 880?

GCD of 546, 483, 749, 880 is 1

2. Where do I get the detailed procedure to find GCD of 546, 483, 749, 880?

You can find a detailed procedure to find GCD of 546, 483, 749, 880 on our page.

3. How to find GCD of 546, 483, 749, 880 on a calculator?

You can find the GCD of 546, 483, 749, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.