GCD of 306, 314, 252, 728 Calculator

Given Input numbers are 306, 314, 252, 728

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

GCD of numbers is the greatest common divisor

So, the GCD (306, 314, 252, 728) = 2.

Given numbers are 306, 314, 252, 728

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 314 are 2 x 157

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 306, 314, 252, 728 is 2.

Given numbers are 306, 314, 252, 728

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

Apply this formula for all numbers.

Step1:

LCM(306, 314) = 48042

GCD(306, 314) = ( 306 x 314 ) / 48042

= 306 / 314

= 306

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 306, 314, 252, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 114, 890, 496
• GCD of 817, 328, 639, 815
• GCD of 347, 150, 553, 410
• GCD of 401, 342, 320, 385
• GCD of 293, 519, 452, 228

Given numbers are 306, 314, 252, 728
The greatest common divisor of numbers 306, 314, 252, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 314, 252, 728 is 2.

1. What is the GCD of 306, 314, 252, 728?

GCD of given numbers 306, 314, 252, 728 is 2

2. How to calculate the greatest common divisor of 306, 314, 252, 728?

We can find the highest common divisor of 306, 314, 252, 728 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 306, 314, 252, 728 i.e 2.

3. How can I use the GCD of 306, 314, 252, 728Calculator?

Out the numbers 306, 314, 252, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.