GCD of 545, 830, 48, 272 Calculator

Given Input numbers are 545, 830, 48, 272

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 545, 830, 48, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 830, 48, 272 is 1.

Therefore, GCD of numbers 545, 830, 48, 272 is 1

Given Input Data is 545, 830, 48, 272

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(545, 830) = 90470

GCD(545, 830) = ( 545 x 830 ) / 90470

GCD(545, 830) = 452350 / 90470

GCD(545, 830) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 48

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

LCM(5, 48) = 240

GCD(5, 48) = ( 5 x 48 ) / 240

GCD(5, 48) = 240 / 240

GCD(5, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 545, 830, 48, 272 is 1

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• GCD of 502, 324, 14, 350
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1. What is the GCD of 545, 830, 48, 272?

GCD of 545, 830, 48, 272 is 1

2. Where do I get the detailed procedure to find GCD of 545, 830, 48, 272?

You can find a detailed procedure to find GCD of 545, 830, 48, 272 on our page.

3. How to find GCD of 545, 830, 48, 272 on a calculator?

You can find the GCD of 545, 830, 48, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.