GCD of 342, 246, 280, 224 Calculator

Given Input numbers are 342, 246, 280, 224

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 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (342, 246, 280, 224) = 2.

Given numbers are 342, 246, 280, 224

The list of prime factors of all numbers are

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

Prime factors of 246 are 2 x 3 x 41

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 342, 246, 280, 224 is 2.

Given numbers are 342, 246, 280, 224

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

Apply this formula for all numbers.

Step1:

LCM(342, 246) = 14022

GCD(342, 246) = ( 342 x 246 ) / 14022

= 342 / 246

= 342

Step2:

LCM(6, 280) = 840

GCD(6, 280) = ( 6 x 280 ) / 840

= 6 / 280

= 6

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 342, 246, 280, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 914, 223, 663
• GCD of 617, 947, 445, 773
• GCD of 892, 767, 225, 187
• GCD of 769, 787, 694, 673
• GCD of 720, 387, 421, 652

Given numbers are 342, 246, 280, 224
The greatest common divisor of numbers 342, 246, 280, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 246, 280, 224 is 2.

1. What is the GCD of 342, 246, 280, 224?

GCD of given numbers 342, 246, 280, 224 is 2

2. How to calculate the greatest common divisor of 342, 246, 280, 224?

We can find the highest common divisor of 342, 246, 280, 224 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, 246, 280, 224 i.e 2.

3. How can I use the GCD of 342, 246, 280, 224Calculator?

Out the numbers 342, 246, 280, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.