GCD of 480, 564, 180, 454 Calculator

Given Input numbers are 480, 564, 180, 454

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (480, 564, 180, 454) = 2.

Given numbers are 480, 564, 180, 454

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 564 are 2 x 2 x 3 x 47

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

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 480, 564, 180, 454 is 2.

Given numbers are 480, 564, 180, 454

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

Apply this formula for all numbers.

Step1:

LCM(480, 564) = 22560

GCD(480, 564) = ( 480 x 564 ) / 22560

= 480 / 564

= 480

Step2:

LCM(12, 180) = 180

GCD(12, 180) = ( 12 x 180 ) / 180

= 12 / 180

= 12

Step3:

LCM(12, 454) = 2724

GCD(12, 454) = ( 12 x 454 ) / 2724

= 12 / 454

= 12

So, Greatest Common Divisor of 480, 564, 180, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 977, 574, 351
• GCD of 520, 176, 933, 370
• GCD of 848, 783, 881, 843
• GCD of 839, 248, 351, 710
• GCD of 627, 215, 540, 754

Given numbers are 480, 564, 180, 454
The greatest common divisor of numbers 480, 564, 180, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 564, 180, 454 is 2.

1. What is the GCD of 480, 564, 180, 454?

GCD of given numbers 480, 564, 180, 454 is 2

2. How to calculate the greatest common divisor of 480, 564, 180, 454?

We can find the highest common divisor of 480, 564, 180, 454 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, 564, 180, 454 i.e 2.

3. How can I use the GCD of 480, 564, 180, 454Calculator?

Out the numbers 480, 564, 180, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.