GCD of 272, 160, 816, 268 Calculator

Given Input numbers are 272, 160, 816, 268

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (272, 160, 816, 268) = 4.

Given numbers are 272, 160, 816, 268

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 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2²

Therefore, GCD of 272, 160, 816, 268 is 4.

Given numbers are 272, 160, 816, 268

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

Apply this formula for all numbers.

Step1:

LCM(272, 160) = 2720

GCD(272, 160) = ( 272 x 160 ) / 2720

= 272 / 160

= 272

Step2:

LCM(16, 816) = 816

GCD(16, 816) = ( 16 x 816 ) / 816

= 16 / 816

= 16

Step3:

LCM(16, 268) = 1072

GCD(16, 268) = ( 16 x 268 ) / 1072

= 16 / 268

= 16

So, Greatest Common Divisor of 272, 160, 816, 268 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 244, 652, 954
• GCD of 622, 106, 535, 142
• GCD of 532, 867, 702, 812
• GCD of 518, 180, 242, 683
• GCD of 563, 702, 867, 102

Given numbers are 272, 160, 816, 268
The greatest common divisor of numbers 272, 160, 816, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 160, 816, 268 is 4.

1. What is the GCD of 272, 160, 816, 268?

GCD of given numbers 272, 160, 816, 268 is 4

2. How to calculate the greatest common divisor of 272, 160, 816, 268?

We can find the highest common divisor of 272, 160, 816, 268 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, 160, 816, 268 i.e 4.

3. How can I use the GCD of 272, 160, 816, 268Calculator?

Out the numbers 272, 160, 816, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.