GCD of 480, 177, 384, 687 Calculator

Given Input numbers are 480, 177, 384, 687

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

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

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (480, 177, 384, 687) = 3.

Given numbers are 480, 177, 384, 687

The list of prime factors of all numbers are

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

Prime factors of 177 are 3 x 59

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 480, 177, 384, 687 is 3.

Given numbers are 480, 177, 384, 687

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

Apply this formula for all numbers.

Step1:

LCM(480, 177) = 28320

GCD(480, 177) = ( 480 x 177 ) / 28320

= 480 / 177

= 480

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 480, 177, 384, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 157, 560, 440
• GCD of 616, 143, 940, 315
• GCD of 299, 846, 314, 554
• GCD of 673, 723, 550, 420
• GCD of 111, 788, 558, 798

Given numbers are 480, 177, 384, 687
The greatest common divisor of numbers 480, 177, 384, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 177, 384, 687 is 3.

1. What is the GCD of 480, 177, 384, 687?

GCD of given numbers 480, 177, 384, 687 is 3

2. How to calculate the greatest common divisor of 480, 177, 384, 687?

We can find the highest common divisor of 480, 177, 384, 687 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 480, 177, 384, 687 i.e 3.

3. How can I use the GCD of 480, 177, 384, 687Calculator?

Out the numbers 480, 177, 384, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.