GCD of 546, 109, 308, 502 Calculator

Given Input numbers are 546, 109, 308, 502

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 546, 109, 308, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 109, 308, 502 is 1.

Therefore, GCD of numbers 546, 109, 308, 502 is 1

Given Input Data is 546, 109, 308, 502

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 109 is 109

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 502 is 2 x 251

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, 109) = 59514

GCD(546, 109) = ( 546 x 109 ) / 59514

GCD(546, 109) = 59514 / 59514

GCD(546, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 546, 109, 308, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 235, 542, 124
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• GCD of 981, 292, 102, 847

1. What is the GCD of 546, 109, 308, 502?

GCD of 546, 109, 308, 502 is 1

2. Where do I get the detailed procedure to find GCD of 546, 109, 308, 502?

You can find a detailed procedure to find GCD of 546, 109, 308, 502 on our page.

3. How to find GCD of 546, 109, 308, 502 on a calculator?

You can find the GCD of 546, 109, 308, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.