GCD of 129, 456, 642, 480 Calculator

Given Input numbers are 129, 456, 642, 480

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

Divisors of 129 :

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

1, 3, 43, 129

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 (129, 456, 642, 480) = 3.

Given numbers are 129, 456, 642, 480

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 642 are 2 x 3 x 107

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

The highest common occurrence is 3¹

Therefore, GCD of 129, 456, 642, 480 is 3.

Given numbers are 129, 456, 642, 480

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

Apply this formula for all numbers.

Step1:

LCM(129, 456) = 19608

GCD(129, 456) = ( 129 x 456 ) / 19608

= 129 / 456

= 129

Step2:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 129, 456, 642, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 226, 432, 711
• GCD of 767, 756, 714, 779
• GCD of 616, 181, 988, 110
• GCD of 471, 182, 922, 556
• GCD of 307, 308, 827, 295

Given numbers are 129, 456, 642, 480
The greatest common divisor of numbers 129, 456, 642, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 456, 642, 480 is 3.

1. What is the GCD of 129, 456, 642, 480?

GCD of given numbers 129, 456, 642, 480 is 3

2. How to calculate the greatest common divisor of 129, 456, 642, 480?

We can find the highest common divisor of 129, 456, 642, 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 129, 456, 642, 480 i.e 3.

3. How can I use the GCD of 129, 456, 642, 480Calculator?

Out the numbers 129, 456, 642, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.