GCD of 480, 472, 342, 280 Calculator

Given Input numbers are 480, 472, 342, 280

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (480, 472, 342, 280) = 2.

Given numbers are 480, 472, 342, 280

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 472 are 2 x 2 x 2 x 59

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 480, 472, 342, 280 is 2.

Given numbers are 480, 472, 342, 280

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

Apply this formula for all numbers.

Step1:

LCM(480, 472) = 28320

GCD(480, 472) = ( 480 x 472 ) / 28320

= 480 / 472

= 480

Step2:

LCM(8, 342) = 1368

GCD(8, 342) = ( 8 x 342 ) / 1368

= 8 / 342

= 8

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 480, 472, 342, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 223, 455, 204
• GCD of 366, 854, 890, 553
• GCD of 291, 582, 980, 579
• GCD of 330, 609, 294, 500
• GCD of 177, 792, 760, 805

Given numbers are 480, 472, 342, 280
The greatest common divisor of numbers 480, 472, 342, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 472, 342, 280 is 2.

1. What is the GCD of 480, 472, 342, 280?

GCD of given numbers 480, 472, 342, 280 is 2

2. How to calculate the greatest common divisor of 480, 472, 342, 280?

We can find the highest common divisor of 480, 472, 342, 280 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, 472, 342, 280 i.e 2.

3. How can I use the GCD of 480, 472, 342, 280Calculator?

Out the numbers 480, 472, 342, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.