GCD of 672, 396, 272, 310 Calculator

Given Input numbers are 672, 396, 272, 310

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 272 :

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

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (672, 396, 272, 310) = 2.

Given numbers are 672, 396, 272, 310

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 672, 396, 272, 310 is 2.

Given numbers are 672, 396, 272, 310

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

Apply this formula for all numbers.

Step1:

LCM(672, 396) = 22176

GCD(672, 396) = ( 672 x 396 ) / 22176

= 672 / 396

= 672

Step2:

LCM(12, 272) = 816

GCD(12, 272) = ( 12 x 272 ) / 816

= 12 / 272

= 12

Step3:

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

= 4 / 310

= 4

So, Greatest Common Divisor of 672, 396, 272, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 393, 173, 900
• GCD of 231, 367, 220, 420
• GCD of 625, 255, 525, 176
• GCD of 301, 866, 471, 425
• GCD of 491, 204, 388, 649

Given numbers are 672, 396, 272, 310
The greatest common divisor of numbers 672, 396, 272, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 396, 272, 310 is 2.

1. What is the GCD of 672, 396, 272, 310?

GCD of given numbers 672, 396, 272, 310 is 2

2. How to calculate the greatest common divisor of 672, 396, 272, 310?

We can find the highest common divisor of 672, 396, 272, 310 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 672, 396, 272, 310 i.e 2.

3. How can I use the GCD of 672, 396, 272, 310Calculator?

Out the numbers 672, 396, 272, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.