GCD of 272, 608, 67, 666 Calculator

Given Input numbers are 272, 608, 67, 666

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 272, 608, 67, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 608, 67, 666 is 1.

Therefore, GCD of numbers 272, 608, 67, 666 is 1

Given Input Data is 272, 608, 67, 666

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 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 67 is 67

Prime Factorization of 666 is 2 x 3 x 3 x 37

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, 608) = 10336

GCD(272, 608) = ( 272 x 608 ) / 10336

GCD(272, 608) = 165376 / 10336

GCD(272, 608) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 67

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

LCM(16, 67) = 1072

GCD(16, 67) = ( 16 x 67 ) / 1072

GCD(16, 67) = 1072 / 1072

GCD(16, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 272, 608, 67, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 424, 82, 183
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• GCD of 161, 592, 71, 355

1. What is the GCD of 272, 608, 67, 666?

GCD of 272, 608, 67, 666 is 1

2. Where do I get the detailed procedure to find GCD of 272, 608, 67, 666?

You can find a detailed procedure to find GCD of 272, 608, 67, 666 on our page.

3. How to find GCD of 272, 608, 67, 666 on a calculator?

You can find the GCD of 272, 608, 67, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.