GCD of 842, 320, 728, 172 Calculator

Given Input numbers are 842, 320, 728, 172

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (842, 320, 728, 172) = 2.

Given numbers are 842, 320, 728, 172

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 842, 320, 728, 172 is 2.

Given numbers are 842, 320, 728, 172

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

Apply this formula for all numbers.

Step1:

LCM(842, 320) = 134720

GCD(842, 320) = ( 842 x 320 ) / 134720

= 842 / 320

= 842

Step2:

LCM(2, 728) = 728

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

= 2 / 728

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 842, 320, 728, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 467, 161, 222
• GCD of 322, 308, 878, 662
• GCD of 627, 451, 353, 355
• GCD of 453, 837, 816, 380
• GCD of 697, 733, 557, 155

Given numbers are 842, 320, 728, 172
The greatest common divisor of numbers 842, 320, 728, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 320, 728, 172 is 2.

1. What is the GCD of 842, 320, 728, 172?

GCD of given numbers 842, 320, 728, 172 is 2

2. How to calculate the greatest common divisor of 842, 320, 728, 172?

We can find the highest common divisor of 842, 320, 728, 172 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 842, 320, 728, 172 i.e 2.

3. How can I use the GCD of 842, 320, 728, 172Calculator?

Out the numbers 842, 320, 728, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.