GCD of 368, 106, 728, 280 Calculator

Given Input numbers are 368, 106, 728, 280

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (368, 106, 728, 280) = 2.

Given numbers are 368, 106, 728, 280

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 106 are 2 x 53

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 368, 106, 728, 280 is 2.

Given numbers are 368, 106, 728, 280

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

Apply this formula for all numbers.

Step1:

LCM(368, 106) = 19504

GCD(368, 106) = ( 368 x 106 ) / 19504

= 368 / 106

= 368

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 368, 106, 728, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 685, 678, 399
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• GCD of 182, 701, 917, 421

Given numbers are 368, 106, 728, 280
The greatest common divisor of numbers 368, 106, 728, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 106, 728, 280 is 2.

1. What is the GCD of 368, 106, 728, 280?

GCD of given numbers 368, 106, 728, 280 is 2

2. How to calculate the greatest common divisor of 368, 106, 728, 280?

We can find the highest common divisor of 368, 106, 728, 280 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 368, 106, 728, 280 i.e 2.

3. How can I use the GCD of 368, 106, 728, 280Calculator?

Out the numbers 368, 106, 728, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.