GCD of 521, 654, 871, 312 Calculator

Given Input numbers are 521, 654, 871, 312

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 871

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

1, 13, 67, 871

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 521, 654, 871, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 654, 871, 312 is 1.

Therefore, GCD of numbers 521, 654, 871, 312 is 1

Given Input Data is 521, 654, 871, 312

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

Prime Factorization of 521 is 521

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 871 is 13 x 67

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(521, 654) = 340734

GCD(521, 654) = ( 521 x 654 ) / 340734

GCD(521, 654) = 340734 / 340734

GCD(521, 654) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 521, 654, 871, 312 is 1

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1. What is the GCD of 521, 654, 871, 312?

GCD of 521, 654, 871, 312 is 1

2. Where do I get the detailed procedure to find GCD of 521, 654, 871, 312?

You can find a detailed procedure to find GCD of 521, 654, 871, 312 on our page.

3. How to find GCD of 521, 654, 871, 312 on a calculator?

You can find the GCD of 521, 654, 871, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.