GCD of 480, 768, 456, 379 Calculator

Given Input numbers are 480, 768, 456, 379

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

GCD of numbers is the greatest common divisor

So, the GCD (480, 768, 456, 379) = 1.

Given numbers are 480, 768, 456, 379

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 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 379 are 379

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

Given numbers are 480, 768, 456, 379

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

Apply this formula for all numbers.

Step1:

LCM(480, 768) = 3840

GCD(480, 768) = ( 480 x 768 ) / 3840

= 480 / 768

= 480

Step2:

LCM(96, 456) = 1824

GCD(96, 456) = ( 96 x 456 ) / 1824

= 96 / 456

= 96

Step3:

LCM(24, 379) = 9096

GCD(24, 379) = ( 24 x 379 ) / 9096

= 24 / 379

= 24

So, Greatest Common Divisor of 480, 768, 456, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 329, 214, 952
• GCD of 506, 124, 126, 539
• GCD of 944, 612, 440, 442
• GCD of 374, 282, 365, 948
• GCD of 894, 639, 176, 859

Given numbers are 480, 768, 456, 379
The greatest common divisor of numbers 480, 768, 456, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 768, 456, 379 is 1.

1. What is the GCD of 480, 768, 456, 379?

GCD of given numbers 480, 768, 456, 379 is 1

2. How to calculate the greatest common divisor of 480, 768, 456, 379?

We can find the highest common divisor of 480, 768, 456, 379 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, 768, 456, 379 i.e 1.

3. How can I use the GCD of 480, 768, 456, 379Calculator?

Out the numbers 480, 768, 456, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.