GCD of 272, 896, 684, 224 Calculator

Given Input numbers are 272, 896, 684, 224

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

GCD of numbers is the greatest common divisor

So, the GCD (272, 896, 684, 224) = 4.

Given numbers are 272, 896, 684, 224

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 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

The highest common occurrence is 2²

Therefore, GCD of 272, 896, 684, 224 is 4.

Given numbers are 272, 896, 684, 224

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

Apply this formula for all numbers.

Step1:

LCM(272, 896) = 15232

GCD(272, 896) = ( 272 x 896 ) / 15232

= 272 / 896

= 272

Step2:

LCM(16, 684) = 2736

GCD(16, 684) = ( 16 x 684 ) / 2736

= 16 / 684

= 16

Step3:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4

So, Greatest Common Divisor of 272, 896, 684, 224 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 902, 428, 221
• GCD of 633, 840, 314, 343
• GCD of 452, 849, 744, 779
• GCD of 580, 640, 525, 420
• GCD of 288, 793, 489, 213

Given numbers are 272, 896, 684, 224
The greatest common divisor of numbers 272, 896, 684, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 896, 684, 224 is 4.

1. What is the GCD of 272, 896, 684, 224?

GCD of given numbers 272, 896, 684, 224 is 4

2. How to calculate the greatest common divisor of 272, 896, 684, 224?

We can find the highest common divisor of 272, 896, 684, 224 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, 896, 684, 224 i.e 4.

3. How can I use the GCD of 272, 896, 684, 224Calculator?

Out the numbers 272, 896, 684, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.