GCD of 348, 648, 342, 500 Calculator

Given Input numbers are 348, 648, 342, 500

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

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (348, 648, 342, 500) = 2.

Given numbers are 348, 648, 342, 500

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 348, 648, 342, 500 is 2.

Given numbers are 348, 648, 342, 500

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

Apply this formula for all numbers.

Step1:

LCM(348, 648) = 18792

GCD(348, 648) = ( 348 x 648 ) / 18792

= 348 / 648

= 348

Step2:

LCM(12, 342) = 684

GCD(12, 342) = ( 12 x 342 ) / 684

= 12 / 342

= 12

Step3:

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

= 6 / 500

= 6

So, Greatest Common Divisor of 348, 648, 342, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 228, 372, 632
• GCD of 109, 155, 561, 626
• GCD of 319, 907, 351, 153
• GCD of 235, 894, 625, 693
• GCD of 907, 449, 652, 297

Given numbers are 348, 648, 342, 500
The greatest common divisor of numbers 348, 648, 342, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 648, 342, 500 is 2.

1. What is the GCD of 348, 648, 342, 500?

GCD of given numbers 348, 648, 342, 500 is 2

2. How to calculate the greatest common divisor of 348, 648, 342, 500?

We can find the highest common divisor of 348, 648, 342, 500 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 348, 648, 342, 500 i.e 2.

3. How can I use the GCD of 348, 648, 342, 500Calculator?

Out the numbers 348, 648, 342, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.