GCD of 871, 110, 420, 513 Calculator

Given Input numbers are 871, 110, 420, 513

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 871, 110, 420, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 110, 420, 513 is 1.

Therefore, GCD of numbers 871, 110, 420, 513 is 1

Given Input Data is 871, 110, 420, 513

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(871, 110) = 95810

GCD(871, 110) = ( 871 x 110 ) / 95810

GCD(871, 110) = 95810 / 95810

GCD(871, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 871, 110, 420, 513 is 1

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1. What is the GCD of 871, 110, 420, 513?

GCD of 871, 110, 420, 513 is 1

2. Where do I get the detailed procedure to find GCD of 871, 110, 420, 513?

You can find a detailed procedure to find GCD of 871, 110, 420, 513 on our page.

3. How to find GCD of 871, 110, 420, 513 on a calculator?

You can find the GCD of 871, 110, 420, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.