GCD of 548, 546, 109, 734 Calculator

Given Input numbers are 548, 546, 109, 734

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 548, 546, 109, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 546, 109, 734 is 1.

Therefore, GCD of numbers 548, 546, 109, 734 is 1

Given Input Data is 548, 546, 109, 734

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

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 109 is 109

Prime Factorization of 734 is 2 x 367

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(548, 546) = 149604

GCD(548, 546) = ( 548 x 546 ) / 149604

GCD(548, 546) = 299208 / 149604

GCD(548, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 548, 546, 109, 734 is 1

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1. What is the GCD of 548, 546, 109, 734?

GCD of 548, 546, 109, 734 is 1

2. Where do I get the detailed procedure to find GCD of 548, 546, 109, 734?

You can find a detailed procedure to find GCD of 548, 546, 109, 734 on our page.

3. How to find GCD of 548, 546, 109, 734 on a calculator?

You can find the GCD of 548, 546, 109, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.