GCD of 284, 306, 502, 170 Calculator

Given Input numbers are 284, 306, 502, 170

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 170 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (284, 306, 502, 170) = 2.

Given numbers are 284, 306, 502, 170

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 502 are 2 x 251

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 284, 306, 502, 170 is 2.

Given numbers are 284, 306, 502, 170

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

Apply this formula for all numbers.

Step1:

LCM(284, 306) = 43452

GCD(284, 306) = ( 284 x 306 ) / 43452

= 284 / 306

= 284

Step2:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 284, 306, 502, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 605, 326, 951
• GCD of 768, 254, 637, 236
• GCD of 624, 880, 271, 766
• GCD of 728, 957, 703, 118
• GCD of 532, 626, 738, 238

Given numbers are 284, 306, 502, 170
The greatest common divisor of numbers 284, 306, 502, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 306, 502, 170 is 2.

1. What is the GCD of 284, 306, 502, 170?

GCD of given numbers 284, 306, 502, 170 is 2

2. How to calculate the greatest common divisor of 284, 306, 502, 170?

We can find the highest common divisor of 284, 306, 502, 170 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 284, 306, 502, 170 i.e 2.

3. How can I use the GCD of 284, 306, 502, 170Calculator?

Out the numbers 284, 306, 502, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.