GCD of 480, 224, 808, 874 Calculator

Given Input numbers are 480, 224, 808, 874

In the factoring method, we have to find the divisors of all numbers

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (480, 224, 808, 874) = 2.

Given numbers are 480, 224, 808, 874

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 480, 224, 808, 874 is 2.

Given numbers are 480, 224, 808, 874

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(480, 224) = 3360

GCD(480, 224) = ( 480 x 224 ) / 3360

= 480 / 224

= 480

Step2:

LCM(32, 808) = 3232

GCD(32, 808) = ( 32 x 808 ) / 3232

= 32 / 808

= 32

Step3:

LCM(8, 874) = 3496

GCD(8, 874) = ( 8 x 874 ) / 3496

= 8 / 874

= 8

So, Greatest Common Divisor of 480, 224, 808, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 407, 562, 267
• GCD of 279, 276, 874, 981
• GCD of 980, 298, 968, 147
• GCD of 869, 708, 471, 795
• GCD of 161, 294, 647, 675

Given numbers are 480, 224, 808, 874
The greatest common divisor of numbers 480, 224, 808, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 224, 808, 874 is 2.

1. What is the GCD of 480, 224, 808, 874?

GCD of given numbers 480, 224, 808, 874 is 2

2. How to calculate the greatest common divisor of 480, 224, 808, 874?

We can find the highest common divisor of 480, 224, 808, 874 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 480, 224, 808, 874 i.e 2.

3. How can I use the GCD of 480, 224, 808, 874Calculator?

Out the numbers 480, 224, 808, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.