GCD of 254, 180, 434, 480 Calculator

Given Input numbers are 254, 180, 434, 480

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

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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 (254, 180, 434, 480) = 2.

Given numbers are 254, 180, 434, 480

The list of prime factors of all numbers are

Prime factors of 254 are 2 x 127

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 434 are 2 x 7 x 31

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 254, 180, 434, 480 is 2.

Given numbers are 254, 180, 434, 480

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

Apply this formula for all numbers.

Step1:

LCM(254, 180) = 22860

GCD(254, 180) = ( 254 x 180 ) / 22860

= 254 / 180

= 254

Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

Step3:

LCM(2, 480) = 480

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

= 2 / 480

= 2

So, Greatest Common Divisor of 254, 180, 434, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 585, 294, 372
• GCD of 877, 901, 530, 303
• GCD of 393, 481, 385, 579
• GCD of 452, 927, 404, 141
• GCD of 113, 188, 588, 254

Given numbers are 254, 180, 434, 480
The greatest common divisor of numbers 254, 180, 434, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 254, 180, 434, 480 is 2.

1. What is the GCD of 254, 180, 434, 480?

GCD of given numbers 254, 180, 434, 480 is 2

2. How to calculate the greatest common divisor of 254, 180, 434, 480?

We can find the highest common divisor of 254, 180, 434, 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 254, 180, 434, 480 i.e 2.

3. How can I use the GCD of 254, 180, 434, 480Calculator?

Out the numbers 254, 180, 434, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.