GCD of 102, 108, 398, 348 Calculator

Given Input numbers are 102, 108, 398, 348

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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

GCD of numbers is the greatest common divisor

So, the GCD (102, 108, 398, 348) = 2.

Given numbers are 102, 108, 398, 348

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 398 are 2 x 199

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

The highest common occurrence is 2¹

Therefore, GCD of 102, 108, 398, 348 is 2.

Given numbers are 102, 108, 398, 348

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

Apply this formula for all numbers.

Step1:

LCM(102, 108) = 1836

GCD(102, 108) = ( 102 x 108 ) / 1836

= 102 / 108

= 102

Step2:

LCM(6, 398) = 1194

GCD(6, 398) = ( 6 x 398 ) / 1194

= 6 / 398

= 6

Step3:

LCM(2, 348) = 348

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

= 2 / 348

= 2

So, Greatest Common Divisor of 102, 108, 398, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 627, 479, 732
• GCD of 120, 763, 196, 158
• GCD of 834, 800, 496, 486
• GCD of 219, 179, 433, 709
• GCD of 122, 981, 474, 352

Given numbers are 102, 108, 398, 348
The greatest common divisor of numbers 102, 108, 398, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 108, 398, 348 is 2.

1. What is the GCD of 102, 108, 398, 348?

GCD of given numbers 102, 108, 398, 348 is 2

2. How to calculate the greatest common divisor of 102, 108, 398, 348?

We can find the highest common divisor of 102, 108, 398, 348 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 102, 108, 398, 348 i.e 2.

3. How can I use the GCD of 102, 108, 398, 348Calculator?

Out the numbers 102, 108, 398, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.