GCD of 480, 728, 266, 238 Calculator

Given Input numbers are 480, 728, 266, 238

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (480, 728, 266, 238) = 2.

Given numbers are 480, 728, 266, 238

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 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 266 are 2 x 7 x 19

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 480, 728, 266, 238 is 2.

Given numbers are 480, 728, 266, 238

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

Apply this formula for all numbers.

Step1:

LCM(480, 728) = 43680

GCD(480, 728) = ( 480 x 728 ) / 43680

= 480 / 728

= 480

Step2:

LCM(8, 266) = 1064

GCD(8, 266) = ( 8 x 266 ) / 1064

= 8 / 266

= 8

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 480, 728, 266, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 572, 265, 841
• GCD of 350, 144, 137, 356
• GCD of 648, 212, 175, 139
• GCD of 230, 595, 230, 285
• GCD of 949, 688, 470, 312

Given numbers are 480, 728, 266, 238
The greatest common divisor of numbers 480, 728, 266, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 728, 266, 238 is 2.

1. What is the GCD of 480, 728, 266, 238?

GCD of given numbers 480, 728, 266, 238 is 2

2. How to calculate the greatest common divisor of 480, 728, 266, 238?

We can find the highest common divisor of 480, 728, 266, 238 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, 728, 266, 238 i.e 2.

3. How can I use the GCD of 480, 728, 266, 238Calculator?

Out the numbers 480, 728, 266, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.