GCD of 344, 156, 680, 224 Calculator

Given Input numbers are 344, 156, 680, 224

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 (344, 156, 680, 224) = 4.

Given numbers are 344, 156, 680, 224

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

The highest common occurrence is 2²

Therefore, GCD of 344, 156, 680, 224 is 4.

Given numbers are 344, 156, 680, 224

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

Apply this formula for all numbers.

Step1:

LCM(344, 156) = 13416

GCD(344, 156) = ( 344 x 156 ) / 13416

= 344 / 156

= 344

Step2:

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

= 4 / 680

= 4

Step3:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4

So, Greatest Common Divisor of 344, 156, 680, 224 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 352, 627, 745
• GCD of 237, 168, 593, 601
• GCD of 557, 539, 359, 841
• GCD of 508, 143, 908, 285
• GCD of 223, 237, 574, 228

Given numbers are 344, 156, 680, 224
The greatest common divisor of numbers 344, 156, 680, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 156, 680, 224 is 4.

1. What is the GCD of 344, 156, 680, 224?

GCD of given numbers 344, 156, 680, 224 is 4

2. How to calculate the greatest common divisor of 344, 156, 680, 224?

We can find the highest common divisor of 344, 156, 680, 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 344, 156, 680, 224 i.e 4.

3. How can I use the GCD of 344, 156, 680, 224Calculator?

Out the numbers 344, 156, 680, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.