GCD of 628, 214, 318, 272 Calculator

Given Input numbers are 628, 214, 318, 272

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (628, 214, 318, 272) = 2.

Given numbers are 628, 214, 318, 272

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 214 are 2 x 107

Prime factors of 318 are 2 x 3 x 53

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 628, 214, 318, 272 is 2.

Given numbers are 628, 214, 318, 272

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

Apply this formula for all numbers.

Step1:

LCM(628, 214) = 67196

GCD(628, 214) = ( 628 x 214 ) / 67196

= 628 / 214

= 628

Step2:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 628, 214, 318, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 612, 755, 218
• GCD of 561, 311, 625, 349
• GCD of 887, 447, 416, 477
• GCD of 764, 978, 595, 334
• GCD of 351, 781, 583, 900

Given numbers are 628, 214, 318, 272
The greatest common divisor of numbers 628, 214, 318, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 214, 318, 272 is 2.

1. What is the GCD of 628, 214, 318, 272?

GCD of given numbers 628, 214, 318, 272 is 2

2. How to calculate the greatest common divisor of 628, 214, 318, 272?

We can find the highest common divisor of 628, 214, 318, 272 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 628, 214, 318, 272 i.e 2.

3. How can I use the GCD of 628, 214, 318, 272Calculator?

Out the numbers 628, 214, 318, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.