GCD of 342, 968, 648 Calculator

Given Input numbers are 342, 968, 648

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

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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 968, 648) = 2.

Given numbers are 342, 968, 648

The list of prime factors of all numbers are

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

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 342, 968, 648 is 2.

Given numbers are 342, 968, 648

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

Apply this formula for all numbers.

Step1:

LCM(342, 968) = 165528

GCD(342, 968) = ( 342 x 968 ) / 165528

= 342 / 968

= 342

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 342, 968, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 784, 639
• GCD of 572, 687, 212
• GCD of 684, 470, 193
• GCD of 556, 932, 720
• GCD of 149, 491, 546

Given numbers are 342, 968, 648
The greatest common divisor of numbers 342, 968, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 968, 648 is 2.

1. What is the GCD of 342, 968, 648?

GCD of given numbers 342, 968, 648 is 2

2. How to calculate the greatest common divisor of 342, 968, 648?

We can find the highest common divisor of 342, 968, 648 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 342, 968, 648 i.e 2.

3. How can I use the GCD of 342, 968, 648Calculator?

Out the numbers 342, 968, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.