GCD of 546, 871, 880, 915 Calculator

Given Input numbers are 546, 871, 880, 915

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 871

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

1, 13, 67, 871

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 546, 871, 880, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 871, 880, 915 is 1.

Therefore, GCD of numbers 546, 871, 880, 915 is 1

Given Input Data is 546, 871, 880, 915

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 915 is 3 x 5 x 61

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(546, 871) = 36582

GCD(546, 871) = ( 546 x 871 ) / 36582

GCD(546, 871) = 475566 / 36582

GCD(546, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 880

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

LCM(13, 880) = 11440

GCD(13, 880) = ( 13 x 880 ) / 11440

GCD(13, 880) = 11440 / 11440

GCD(13, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 546, 871, 880, 915 is 1

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1. What is the GCD of 546, 871, 880, 915?

GCD of 546, 871, 880, 915 is 1

2. Where do I get the detailed procedure to find GCD of 546, 871, 880, 915?

You can find a detailed procedure to find GCD of 546, 871, 880, 915 on our page.

3. How to find GCD of 546, 871, 880, 915 on a calculator?

You can find the GCD of 546, 871, 880, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.