GCD of 170, 508, 990, 480 Calculator

Given Input numbers are 170, 508, 990, 480

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (170, 508, 990, 480) = 2.

Given numbers are 170, 508, 990, 480

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 170, 508, 990, 480 is 2.

Given numbers are 170, 508, 990, 480

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

Apply this formula for all numbers.

Step1:

LCM(170, 508) = 43180

GCD(170, 508) = ( 170 x 508 ) / 43180

= 170 / 508

= 170

Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 170, 508, 990, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 165, 337, 754
• GCD of 669, 601, 556, 255
• GCD of 464, 526, 360, 120
• GCD of 893, 742, 527, 288
• GCD of 899, 382, 308, 847

Given numbers are 170, 508, 990, 480
The greatest common divisor of numbers 170, 508, 990, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 508, 990, 480 is 2.

1. What is the GCD of 170, 508, 990, 480?

GCD of given numbers 170, 508, 990, 480 is 2

2. How to calculate the greatest common divisor of 170, 508, 990, 480?

We can find the highest common divisor of 170, 508, 990, 480 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, 508, 990, 480 i.e 2.

3. How can I use the GCD of 170, 508, 990, 480Calculator?

Out the numbers 170, 508, 990, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.