GCD of 271, 749, 923, 102 Calculator

Given Input numbers are 271, 749, 923, 102

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

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 271, 749, 923, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 749, 923, 102 is 1.

Therefore, GCD of numbers 271, 749, 923, 102 is 1

Given Input Data is 271, 749, 923, 102

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

Prime Factorization of 271 is 271

Prime Factorization of 749 is 7 x 107

Prime Factorization of 923 is 13 x 71

Prime Factorization of 102 is 2 x 3 x 17

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(271, 749) = 202979

GCD(271, 749) = ( 271 x 749 ) / 202979

GCD(271, 749) = 202979 / 202979

GCD(271, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 271, 749, 923, 102 is 1

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1. What is the GCD of 271, 749, 923, 102?

GCD of 271, 749, 923, 102 is 1

2. Where do I get the detailed procedure to find GCD of 271, 749, 923, 102?

You can find a detailed procedure to find GCD of 271, 749, 923, 102 on our page.

3. How to find GCD of 271, 749, 923, 102 on a calculator?

You can find the GCD of 271, 749, 923, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.