GCD of 480, 675, 993, 129 Calculator

Given Input numbers are 480, 675, 993, 129

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

GCD of numbers is the greatest common divisor

So, the GCD (480, 675, 993, 129) = 3.

Given numbers are 480, 675, 993, 129

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 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 993 are 3 x 331

Prime factors of 129 are 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 480, 675, 993, 129 is 3.

Given numbers are 480, 675, 993, 129

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

Apply this formula for all numbers.

Step1:

LCM(480, 675) = 21600

GCD(480, 675) = ( 480 x 675 ) / 21600

= 480 / 675

= 480

Step2:

LCM(15, 993) = 4965

GCD(15, 993) = ( 15 x 993 ) / 4965

= 15 / 993

= 15

Step3:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

So, Greatest Common Divisor of 480, 675, 993, 129 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 249, 989, 801
• GCD of 850, 608, 708, 769
• GCD of 153, 973, 883, 210
• GCD of 492, 604, 302, 877
• GCD of 701, 221, 600, 302

Given numbers are 480, 675, 993, 129
The greatest common divisor of numbers 480, 675, 993, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 675, 993, 129 is 3.

1. What is the GCD of 480, 675, 993, 129?

GCD of given numbers 480, 675, 993, 129 is 3

2. How to calculate the greatest common divisor of 480, 675, 993, 129?

We can find the highest common divisor of 480, 675, 993, 129 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, 675, 993, 129 i.e 3.

3. How can I use the GCD of 480, 675, 993, 129Calculator?

Out the numbers 480, 675, 993, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.