GCD of 346, 728, 284, 624 Calculator

Given Input numbers are 346, 728, 284, 624

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (346, 728, 284, 624) = 2.

Given numbers are 346, 728, 284, 624

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 284 are 2 x 2 x 71

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 346, 728, 284, 624 is 2.

Given numbers are 346, 728, 284, 624

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

Apply this formula for all numbers.

Step1:

LCM(346, 728) = 125944

GCD(346, 728) = ( 346 x 728 ) / 125944

= 346 / 728

= 346

Step2:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 346, 728, 284, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 705, 846, 364
• GCD of 284, 862, 255, 204
• GCD of 524, 349, 124, 931
• GCD of 216, 901, 641, 466
• GCD of 557, 203, 922, 687

Given numbers are 346, 728, 284, 624
The greatest common divisor of numbers 346, 728, 284, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 728, 284, 624 is 2.

1. What is the GCD of 346, 728, 284, 624?

GCD of given numbers 346, 728, 284, 624 is 2

2. How to calculate the greatest common divisor of 346, 728, 284, 624?

We can find the highest common divisor of 346, 728, 284, 624 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 346, 728, 284, 624 i.e 2.

3. How can I use the GCD of 346, 728, 284, 624Calculator?

Out the numbers 346, 728, 284, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.