GCD of 480, 874, 30 Calculator

Given Input numbers are 480, 874, 30

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 874 :

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

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

So, the GCD (480, 874, 30) = 2.

Given numbers are 480, 874, 30

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 874 are 2 x 19 x 23

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 480, 874, 30 is 2.

Given numbers are 480, 874, 30

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

Apply this formula for all numbers.

Step1:

LCM(480, 874) = 209760

GCD(480, 874) = ( 480 x 874 ) / 209760

= 480 / 874

= 480

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

So, Greatest Common Divisor of 480, 874, 30 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 560, 22
• GCD of 403, 682, 38
• GCD of 428, 379, 89
• GCD of 527, 379, 25
• GCD of 953, 976, 65

Given numbers are 480, 874, 30
The greatest common divisor of numbers 480, 874, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 874, 30 is 2.

1. What is the GCD of 480, 874, 30?

GCD of given numbers 480, 874, 30 is 2

2. How to calculate the greatest common divisor of 480, 874, 30?

We can find the highest common divisor of 480, 874, 30 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, 874, 30 i.e 2.

3. How can I use the GCD of 480, 874, 30Calculator?

Out the numbers 480, 874, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.