GCD of 272, 352, 714, 101 Calculator

Given Input numbers are 272, 352, 714, 101

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 101

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

1, 101

Greatest Common Divisior

We found the divisors of 272, 352, 714, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 352, 714, 101 is 1.

Therefore, GCD of numbers 272, 352, 714, 101 is 1

Given Input Data is 272, 352, 714, 101

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 101 is 101

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, 352) = 5984

GCD(272, 352) = ( 272 x 352 ) / 5984

GCD(272, 352) = 95744 / 5984

GCD(272, 352) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 714

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

LCM(16, 714) = 5712

GCD(16, 714) = ( 16 x 714 ) / 5712

GCD(16, 714) = 11424 / 5712

GCD(16, 714) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 101

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

LCM(2, 101) = 202

GCD(2, 101) = ( 2 x 101 ) / 202

GCD(2, 101) = 202 / 202

GCD(2, 101) = 1

GCD of 272, 352, 714, 101 is 1

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1. What is the GCD of 272, 352, 714, 101?

GCD of 272, 352, 714, 101 is 1

2. Where do I get the detailed procedure to find GCD of 272, 352, 714, 101?

You can find a detailed procedure to find GCD of 272, 352, 714, 101 on our page.

3. How to find GCD of 272, 352, 714, 101 on a calculator?

You can find the GCD of 272, 352, 714, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.