GCD of 272, 224, 286, 448 Calculator

Given Input numbers are 272, 224, 286, 448

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

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (272, 224, 286, 448) = 2.

Given numbers are 272, 224, 286, 448

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 286 are 2 x 11 x 13

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 272, 224, 286, 448 is 2.

Given numbers are 272, 224, 286, 448

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

Apply this formula for all numbers.

Step1:

LCM(272, 224) = 3808

GCD(272, 224) = ( 272 x 224 ) / 3808

= 272 / 224

= 272

Step2:

LCM(16, 286) = 2288

GCD(16, 286) = ( 16 x 286 ) / 2288

= 16 / 286

= 16

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 272, 224, 286, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 724, 270, 162
• GCD of 864, 457, 200, 591
• GCD of 683, 389, 484, 331
• GCD of 267, 826, 159, 288
• GCD of 686, 364, 598, 822

Given numbers are 272, 224, 286, 448
The greatest common divisor of numbers 272, 224, 286, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 224, 286, 448 is 2.

1. What is the GCD of 272, 224, 286, 448?

GCD of given numbers 272, 224, 286, 448 is 2

2. How to calculate the greatest common divisor of 272, 224, 286, 448?

We can find the highest common divisor of 272, 224, 286, 448 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 272, 224, 286, 448 i.e 2.

3. How can I use the GCD of 272, 224, 286, 448Calculator?

Out the numbers 272, 224, 286, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.