GCD of 460, 533, 768, 871 Calculator

Given Input numbers are 460, 533, 768, 871

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 460, 533, 768, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 533, 768, 871 is 1.

Therefore, GCD of numbers 460, 533, 768, 871 is 1

Given Input Data is 460, 533, 768, 871

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 533 is 13 x 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(460, 533) = 245180

GCD(460, 533) = ( 460 x 533 ) / 245180

GCD(460, 533) = 245180 / 245180

GCD(460, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 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 460, 533, 768, 871 is 1

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• GCD of 341, 239, 924, 525
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• GCD of 310, 184, 894, 740

1. What is the GCD of 460, 533, 768, 871?

GCD of 460, 533, 768, 871 is 1

2. Where do I get the detailed procedure to find GCD of 460, 533, 768, 871?

You can find a detailed procedure to find GCD of 460, 533, 768, 871 on our page.

3. How to find GCD of 460, 533, 768, 871 on a calculator?

You can find the GCD of 460, 533, 768, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.