GCD of 345, 553, 871 Calculator

Given Input numbers are 345, 553, 871

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 345, 553, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 553, 871 is 1.

Therefore, GCD of numbers 345, 553, 871 is 1

Given Input Data is 345, 553, 871

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 553 is 7 x 79

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(345, 553) = 190785

GCD(345, 553) = ( 345 x 553 ) / 190785

GCD(345, 553) = 190785 / 190785

GCD(345, 553) = 1

Step2:

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 345, 553, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 366, 919
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• GCD of 913, 322, 229
• GCD of 263, 339, 862
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1. What is the GCD of 345, 553, 871?

GCD of 345, 553, 871 is 1

2. Where do I get the detailed procedure to find GCD of 345, 553, 871?

You can find a detailed procedure to find GCD of 345, 553, 871 on our page.

3. How to find GCD of 345, 553, 871 on a calculator?

You can find the GCD of 345, 553, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.