GCD of 272, 929, 67, 109 Calculator

Given Input numbers are 272, 929, 67, 109

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 67

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

1, 67

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 272, 929, 67, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 929, 67, 109 is 1.

Therefore, GCD of numbers 272, 929, 67, 109 is 1

Given Input Data is 272, 929, 67, 109

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 929 is 929

Prime Factorization of 67 is 67

Prime Factorization of 109 is 109

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, 929) = 252688

GCD(272, 929) = ( 272 x 929 ) / 252688

GCD(272, 929) = 252688 / 252688

GCD(272, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 272, 929, 67, 109 is 1

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1. What is the GCD of 272, 929, 67, 109?

GCD of 272, 929, 67, 109 is 1

2. Where do I get the detailed procedure to find GCD of 272, 929, 67, 109?

You can find a detailed procedure to find GCD of 272, 929, 67, 109 on our page.

3. How to find GCD of 272, 929, 67, 109 on a calculator?

You can find the GCD of 272, 929, 67, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.