GCD of 480, 622, 874, 208 Calculator

Given Input numbers are 480, 622, 874, 208

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 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 874 :

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

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (480, 622, 874, 208) = 2.

Given numbers are 480, 622, 874, 208

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 622 are 2 x 311

Prime factors of 874 are 2 x 19 x 23

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 480, 622, 874, 208 is 2.

Given numbers are 480, 622, 874, 208

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

Apply this formula for all numbers.

Step1:

LCM(480, 622) = 149280

GCD(480, 622) = ( 480 x 622 ) / 149280

= 480 / 622

= 480

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 480, 622, 874, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 678, 172, 702
• GCD of 726, 260, 986, 339
• GCD of 335, 882, 872, 772
• GCD of 341, 541, 851, 281
• GCD of 872, 491, 258, 998

Given numbers are 480, 622, 874, 208
The greatest common divisor of numbers 480, 622, 874, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 622, 874, 208 is 2.

1. What is the GCD of 480, 622, 874, 208?

GCD of given numbers 480, 622, 874, 208 is 2

2. How to calculate the greatest common divisor of 480, 622, 874, 208?

We can find the highest common divisor of 480, 622, 874, 208 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, 622, 874, 208 i.e 2.

3. How can I use the GCD of 480, 622, 874, 208Calculator?

Out the numbers 480, 622, 874, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.