GCD of 170, 986, 48, 872 Calculator

Given Input numbers are 170, 986, 48, 872

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (170, 986, 48, 872) = 2.

Given numbers are 170, 986, 48, 872

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 986 are 2 x 17 x 29

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 170, 986, 48, 872 is 2.

Given numbers are 170, 986, 48, 872

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

Apply this formula for all numbers.

Step1:

LCM(170, 986) = 4930

GCD(170, 986) = ( 170 x 986 ) / 4930

= 170 / 986

= 170

Step2:

LCM(34, 48) = 816

GCD(34, 48) = ( 34 x 48 ) / 816

= 34 / 48

= 34

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 170, 986, 48, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 178, 17, 440
• GCD of 535, 471, 80, 270
• GCD of 669, 852, 21, 699
• GCD of 656, 354, 99, 209
• GCD of 877, 325, 28, 214

Given numbers are 170, 986, 48, 872
The greatest common divisor of numbers 170, 986, 48, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 986, 48, 872 is 2.

1. What is the GCD of 170, 986, 48, 872?

GCD of given numbers 170, 986, 48, 872 is 2

2. How to calculate the greatest common divisor of 170, 986, 48, 872?

We can find the highest common divisor of 170, 986, 48, 872 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 170, 986, 48, 872 i.e 2.

3. How can I use the GCD of 170, 986, 48, 872Calculator?

Out the numbers 170, 986, 48, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.