GCD of 272, 681, 75, 832 Calculator

Given Input numbers are 272, 681, 75, 832

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

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 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 272, 681, 75, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 681, 75, 832 is 1.

Therefore, GCD of numbers 272, 681, 75, 832 is 1

Given Input Data is 272, 681, 75, 832

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

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 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(272, 681) = 185232

GCD(272, 681) = ( 272 x 681 ) / 185232

GCD(272, 681) = 185232 / 185232

GCD(272, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 272, 681, 75, 832 is 1

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1. What is the GCD of 272, 681, 75, 832?

GCD of 272, 681, 75, 832 is 1

2. Where do I get the detailed procedure to find GCD of 272, 681, 75, 832?

You can find a detailed procedure to find GCD of 272, 681, 75, 832 on our page.

3. How to find GCD of 272, 681, 75, 832 on a calculator?

You can find the GCD of 272, 681, 75, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.