GCD of 306, 272, 168, 672 Calculator

Given Input numbers are 306, 272, 168, 672

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 272 :

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

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

GCD of numbers is the greatest common divisor

So, the GCD (306, 272, 168, 672) = 2.

Given numbers are 306, 272, 168, 672

The list of prime factors of all numbers are

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

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

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 306, 272, 168, 672 is 2.

Given numbers are 306, 272, 168, 672

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

Apply this formula for all numbers.

Step1:

LCM(306, 272) = 2448

GCD(306, 272) = ( 306 x 272 ) / 2448

= 306 / 272

= 306

Step2:

LCM(34, 168) = 2856

GCD(34, 168) = ( 34 x 168 ) / 2856

= 34 / 168

= 34

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 306, 272, 168, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 271, 588, 290
• GCD of 614, 608, 384, 883
• GCD of 700, 176, 809, 409
• GCD of 805, 598, 989, 523
• GCD of 842, 569, 110, 854

Given numbers are 306, 272, 168, 672
The greatest common divisor of numbers 306, 272, 168, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 272, 168, 672 is 2.

1. What is the GCD of 306, 272, 168, 672?

GCD of given numbers 306, 272, 168, 672 is 2

2. How to calculate the greatest common divisor of 306, 272, 168, 672?

We can find the highest common divisor of 306, 272, 168, 672 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, 272, 168, 672 i.e 2.

3. How can I use the GCD of 306, 272, 168, 672Calculator?

Out the numbers 306, 272, 168, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.