GCD of 45, 115, 893, 871 Calculator

Given Input numbers are 45, 115, 893, 871

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 871

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

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 45, 115, 893, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 115, 893, 871 is 1.

Therefore, GCD of numbers 45, 115, 893, 871 is 1

Given Input Data is 45, 115, 893, 871

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 115 is 5 x 23

Prime Factorization of 893 is 19 x 47

Prime Factorization of 871 is 13 x 67

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(45, 115) = 1035

GCD(45, 115) = ( 45 x 115 ) / 1035

GCD(45, 115) = 5175 / 1035

GCD(45, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 893

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

LCM(5, 893) = 4465

GCD(5, 893) = ( 5 x 893 ) / 4465

GCD(5, 893) = 4465 / 4465

GCD(5, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 45, 115, 893, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 679, 202, 464
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• GCD of 21, 531, 691, 680

1. What is the GCD of 45, 115, 893, 871?

GCD of 45, 115, 893, 871 is 1

2. Where do I get the detailed procedure to find GCD of 45, 115, 893, 871?

You can find a detailed procedure to find GCD of 45, 115, 893, 871 on our page.

3. How to find GCD of 45, 115, 893, 871 on a calculator?

You can find the GCD of 45, 115, 893, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.