GCD of 755, 272, 65, 546 Calculator

Given Input numbers are 755, 272, 65, 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 272

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

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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, 272, 65, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 272, 65, 546 is 1.

Therefore, GCD of numbers 755, 272, 65, 546 is 1

Given Input Data is 755, 272, 65, 546

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

Prime Factorization of 755 is 5 x 151

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

Prime Factorization of 65 is 5 x 13

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, 272) = 205360

GCD(755, 272) = ( 755 x 272 ) / 205360

GCD(755, 272) = 205360 / 205360

GCD(755, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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, 272, 65, 546 is 1

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1. What is the GCD of 755, 272, 65, 546?

GCD of 755, 272, 65, 546 is 1

2. Where do I get the detailed procedure to find GCD of 755, 272, 65, 546?

You can find a detailed procedure to find GCD of 755, 272, 65, 546 on our page.

3. How to find GCD of 755, 272, 65, 546 on a calculator?

You can find the GCD of 755, 272, 65, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.