GCD of 342, 270, 300, 232 Calculator

Given Input numbers are 342, 270, 300, 232

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (342, 270, 300, 232) = 2.

Given numbers are 342, 270, 300, 232

The list of prime factors of all numbers are

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 342, 270, 300, 232 is 2.

Given numbers are 342, 270, 300, 232

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

Apply this formula for all numbers.

Step1:

LCM(342, 270) = 5130

GCD(342, 270) = ( 342 x 270 ) / 5130

= 342 / 270

= 342

Step2:

LCM(18, 300) = 900

GCD(18, 300) = ( 18 x 300 ) / 900

= 18 / 300

= 18

Step3:

LCM(6, 232) = 696

GCD(6, 232) = ( 6 x 232 ) / 696

= 6 / 232

= 6

So, Greatest Common Divisor of 342, 270, 300, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 488, 251, 182
• GCD of 701, 587, 966, 964
• GCD of 103, 168, 839, 636
• GCD of 208, 122, 271, 347
• GCD of 388, 417, 885, 286

Given numbers are 342, 270, 300, 232
The greatest common divisor of numbers 342, 270, 300, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 270, 300, 232 is 2.

1. What is the GCD of 342, 270, 300, 232?

GCD of given numbers 342, 270, 300, 232 is 2

2. How to calculate the greatest common divisor of 342, 270, 300, 232?

We can find the highest common divisor of 342, 270, 300, 232 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, 270, 300, 232 i.e 2.

3. How can I use the GCD of 342, 270, 300, 232Calculator?

Out the numbers 342, 270, 300, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.