GCD of 488, 270, 348, 510 Calculator

Given Input numbers are 488, 270, 348, 510

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (488, 270, 348, 510) = 2.

Given numbers are 488, 270, 348, 510

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 488, 270, 348, 510 is 2.

Given numbers are 488, 270, 348, 510

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

Apply this formula for all numbers.

Step1:

LCM(488, 270) = 65880

GCD(488, 270) = ( 488 x 270 ) / 65880

= 488 / 270

= 488

Step2:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 488, 270, 348, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 179, 744, 906
• GCD of 621, 383, 269, 489
• GCD of 222, 698, 612, 745
• GCD of 259, 307, 997, 945
• GCD of 179, 262, 555, 915

Given numbers are 488, 270, 348, 510
The greatest common divisor of numbers 488, 270, 348, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 270, 348, 510 is 2.

1. What is the GCD of 488, 270, 348, 510?

GCD of given numbers 488, 270, 348, 510 is 2

2. How to calculate the greatest common divisor of 488, 270, 348, 510?

We can find the highest common divisor of 488, 270, 348, 510 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 488, 270, 348, 510 i.e 2.

3. How can I use the GCD of 488, 270, 348, 510Calculator?

Out the numbers 488, 270, 348, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.