GCD of 271, 522, 70, 113 Calculator

Given Input numbers are 271, 522, 70, 113

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 271, 522, 70, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 522, 70, 113 is 1.

Therefore, GCD of numbers 271, 522, 70, 113 is 1

Given Input Data is 271, 522, 70, 113

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

Prime Factorization of 271 is 271

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 113 is 113

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, 522) = 141462

GCD(271, 522) = ( 271 x 522 ) / 141462

GCD(271, 522) = 141462 / 141462

GCD(271, 522) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 271, 522, 70, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 729, 55, 175
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• GCD of 727, 578, 43, 672
• GCD of 217, 897, 47, 710
• GCD of 896, 927, 62, 761

1. What is the GCD of 271, 522, 70, 113?

GCD of 271, 522, 70, 113 is 1

2. Where do I get the detailed procedure to find GCD of 271, 522, 70, 113?

You can find a detailed procedure to find GCD of 271, 522, 70, 113 on our page.

3. How to find GCD of 271, 522, 70, 113 on a calculator?

You can find the GCD of 271, 522, 70, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.