GCD of 871, 624, 669, 448 Calculator

Given Input numbers are 871, 624, 669, 448

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 871, 624, 669, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 624, 669, 448 is 1.

Therefore, GCD of numbers 871, 624, 669, 448 is 1

Given Input Data is 871, 624, 669, 448

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 669 is 3 x 223

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(871, 624) = 41808

GCD(871, 624) = ( 871 x 624 ) / 41808

GCD(871, 624) = 543504 / 41808

GCD(871, 624) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 669

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

LCM(13, 669) = 8697

GCD(13, 669) = ( 13 x 669 ) / 8697

GCD(13, 669) = 8697 / 8697

GCD(13, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 871, 624, 669, 448 is 1

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1. What is the GCD of 871, 624, 669, 448?

GCD of 871, 624, 669, 448 is 1

2. Where do I get the detailed procedure to find GCD of 871, 624, 669, 448?

You can find a detailed procedure to find GCD of 871, 624, 669, 448 on our page.

3. How to find GCD of 871, 624, 669, 448 on a calculator?

You can find the GCD of 871, 624, 669, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.