GCD of 240, 338, 176, 460 Calculator

Given Input numbers are 240, 338, 176, 460

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (240, 338, 176, 460) = 2.

Given numbers are 240, 338, 176, 460

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 240, 338, 176, 460 is 2.

Given numbers are 240, 338, 176, 460

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

Apply this formula for all numbers.

Step1:

LCM(240, 338) = 40560

GCD(240, 338) = ( 240 x 338 ) / 40560

= 240 / 338

= 240

Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 240, 338, 176, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 305, 343, 303
• GCD of 727, 265, 473, 725
• GCD of 489, 860, 114, 167
• GCD of 935, 846, 708, 540
• GCD of 597, 395, 875, 411

Given numbers are 240, 338, 176, 460
The greatest common divisor of numbers 240, 338, 176, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 338, 176, 460 is 2.

1. What is the GCD of 240, 338, 176, 460?

GCD of given numbers 240, 338, 176, 460 is 2

2. How to calculate the greatest common divisor of 240, 338, 176, 460?

We can find the highest common divisor of 240, 338, 176, 460 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 240, 338, 176, 460 i.e 2.

3. How can I use the GCD of 240, 338, 176, 460Calculator?

Out the numbers 240, 338, 176, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.