GCD of 334, 678, 342, 600 Calculator

Given Input numbers are 334, 678, 342, 600

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (334, 678, 342, 600) = 2.

Given numbers are 334, 678, 342, 600

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 334, 678, 342, 600 is 2.

Given numbers are 334, 678, 342, 600

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

Apply this formula for all numbers.

Step1:

LCM(334, 678) = 113226

GCD(334, 678) = ( 334 x 678 ) / 113226

= 334 / 678

= 334

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 334, 678, 342, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 426, 998, 356
• GCD of 471, 348, 260, 368
• GCD of 204, 963, 351, 776
• GCD of 303, 784, 283, 197
• GCD of 522, 158, 190, 342

Given numbers are 334, 678, 342, 600
The greatest common divisor of numbers 334, 678, 342, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 678, 342, 600 is 2.

1. What is the GCD of 334, 678, 342, 600?

GCD of given numbers 334, 678, 342, 600 is 2

2. How to calculate the greatest common divisor of 334, 678, 342, 600?

We can find the highest common divisor of 334, 678, 342, 600 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 334, 678, 342, 600 i.e 2.

3. How can I use the GCD of 334, 678, 342, 600Calculator?

Out the numbers 334, 678, 342, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.