GCD of 342, 668, 276, 234 Calculator

Given Input numbers are 342, 668, 276, 234

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (342, 668, 276, 234) = 2.

Given numbers are 342, 668, 276, 234

The list of prime factors of all numbers are

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

Prime factors of 668 are 2 x 2 x 167

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 342, 668, 276, 234 is 2.

Given numbers are 342, 668, 276, 234

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

Apply this formula for all numbers.

Step1:

LCM(342, 668) = 114228

GCD(342, 668) = ( 342 x 668 ) / 114228

= 342 / 668

= 342

Step2:

LCM(2, 276) = 276

GCD(2, 276) = ( 2 x 276 ) / 276

= 2 / 276

= 2

Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

So, Greatest Common Divisor of 342, 668, 276, 234 is 2

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Given numbers are 342, 668, 276, 234
The greatest common divisor of numbers 342, 668, 276, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 668, 276, 234 is 2.

1. What is the GCD of 342, 668, 276, 234?

GCD of given numbers 342, 668, 276, 234 is 2

2. How to calculate the greatest common divisor of 342, 668, 276, 234?

We can find the highest common divisor of 342, 668, 276, 234 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, 668, 276, 234 i.e 2.

3. How can I use the GCD of 342, 668, 276, 234Calculator?

Out the numbers 342, 668, 276, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.