GCD of 480, 456, 177, 460 Calculator

Given Input numbers are 480, 456, 177, 460

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 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 177 :

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

1, 3, 59, 177

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (480, 456, 177, 460) = 1.

Given numbers are 480, 456, 177, 460

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 177 are 3 x 59

Prime factors of 460 are 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 456, 177, 460

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

Apply this formula for all numbers.

Step1:

LCM(480, 456) = 9120

GCD(480, 456) = ( 480 x 456 ) / 9120

= 480 / 456

= 480

Step2:

LCM(24, 177) = 1416

GCD(24, 177) = ( 24 x 177 ) / 1416

= 24 / 177

= 24

Step3:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

So, Greatest Common Divisor of 480, 456, 177, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 604, 480, 411
• GCD of 629, 478, 460, 965
• GCD of 436, 699, 633, 990
• GCD of 429, 412, 197, 769
• GCD of 940, 278, 185, 697

Given numbers are 480, 456, 177, 460
The greatest common divisor of numbers 480, 456, 177, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 456, 177, 460 is 1.

1. What is the GCD of 480, 456, 177, 460?

GCD of given numbers 480, 456, 177, 460 is 1

2. How to calculate the greatest common divisor of 480, 456, 177, 460?

We can find the highest common divisor of 480, 456, 177, 460 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, 456, 177, 460 i.e 1.

3. How can I use the GCD of 480, 456, 177, 460Calculator?

Out the numbers 480, 456, 177, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.