GCD of 272, 101, 69, 841 Calculator

Given Input numbers are 272, 101, 69, 841

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 272, 101, 69, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 101, 69, 841 is 1.

Therefore, GCD of numbers 272, 101, 69, 841 is 1

Given Input Data is 272, 101, 69, 841

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 101 is 101

Prime Factorization of 69 is 3 x 23

Prime Factorization of 841 is 29 x 29

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, 101) = 27472

GCD(272, 101) = ( 272 x 101 ) / 27472

GCD(272, 101) = 27472 / 27472

GCD(272, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 272, 101, 69, 841 is 1

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1. What is the GCD of 272, 101, 69, 841?

GCD of 272, 101, 69, 841 is 1

2. Where do I get the detailed procedure to find GCD of 272, 101, 69, 841?

You can find a detailed procedure to find GCD of 272, 101, 69, 841 on our page.

3. How to find GCD of 272, 101, 69, 841 on a calculator?

You can find the GCD of 272, 101, 69, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.