GCD of 456, 748, 480, 381 Calculator

Given Input numbers are 456, 748, 480, 381

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

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (456, 748, 480, 381) = 1.

Given numbers are 456, 748, 480, 381

The list of prime factors of all numbers are

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

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 381 are 3 x 127

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

Given numbers are 456, 748, 480, 381

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

Apply this formula for all numbers.

Step1:

LCM(456, 748) = 85272

GCD(456, 748) = ( 456 x 748 ) / 85272

= 456 / 748

= 456

Step2:

LCM(4, 480) = 480

GCD(4, 480) = ( 4 x 480 ) / 480

= 4 / 480

= 4

Step3:

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

= 4 / 381

= 4

So, Greatest Common Divisor of 456, 748, 480, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 288, 432, 801
• GCD of 736, 626, 921, 233
• GCD of 708, 744, 620, 307
• GCD of 621, 281, 617, 654
• GCD of 319, 666, 980, 612

Given numbers are 456, 748, 480, 381
The greatest common divisor of numbers 456, 748, 480, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 748, 480, 381 is 1.

1. What is the GCD of 456, 748, 480, 381?

GCD of given numbers 456, 748, 480, 381 is 1

2. How to calculate the greatest common divisor of 456, 748, 480, 381?

We can find the highest common divisor of 456, 748, 480, 381 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 456, 748, 480, 381 i.e 1.

3. How can I use the GCD of 456, 748, 480, 381Calculator?

Out the numbers 456, 748, 480, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.