GCD of 102, 846, 342 Calculator

Given Input numbers are 102, 846, 342

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

GCD of numbers is the greatest common divisor

So, the GCD (102, 846, 342) = 6.

Given numbers are 102, 846, 342

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 846 are 2 x 3 x 3 x 47

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 102, 846, 342 is 6.

Given numbers are 102, 846, 342

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

Apply this formula for all numbers.

Step1:

LCM(102, 846) = 14382

GCD(102, 846) = ( 102 x 846 ) / 14382

= 102 / 846

= 102

Step2:

LCM(6, 342) = 342

GCD(6, 342) = ( 6 x 342 ) / 342

= 6 / 342

= 6

So, Greatest Common Divisor of 102, 846, 342 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 334, 601
• GCD of 229, 694, 605
• GCD of 362, 681, 415
• GCD of 115, 489, 219
• GCD of 147, 757, 481

Given numbers are 102, 846, 342
The greatest common divisor of numbers 102, 846, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 846, 342 is 6.

1. What is the GCD of 102, 846, 342?

GCD of given numbers 102, 846, 342 is 6

2. How to calculate the greatest common divisor of 102, 846, 342?

We can find the highest common divisor of 102, 846, 342 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, 846, 342 i.e 6.

3. How can I use the GCD of 102, 846, 342Calculator?

Out the numbers 102, 846, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.