GCD of 768, 241, 462, 480 Calculator

Given Input numbers are 768, 241, 462, 480

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

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 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 (768, 241, 462, 480) = 1.

Given numbers are 768, 241, 462, 480

The list of prime factors of all numbers are

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 241 are 241

Prime factors of 462 are 2 x 3 x 7 x 11

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

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

Given numbers are 768, 241, 462, 480

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

Apply this formula for all numbers.

Step1:

LCM(768, 241) = 185088

GCD(768, 241) = ( 768 x 241 ) / 185088

= 768 / 241

= 768

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 768, 241, 462, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 206, 614, 684
• GCD of 515, 619, 390, 566
• GCD of 146, 266, 383, 233
• GCD of 304, 583, 989, 552
• GCD of 937, 469, 650, 785

Given numbers are 768, 241, 462, 480
The greatest common divisor of numbers 768, 241, 462, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 241, 462, 480 is 1.

1. What is the GCD of 768, 241, 462, 480?

GCD of given numbers 768, 241, 462, 480 is 1

2. How to calculate the greatest common divisor of 768, 241, 462, 480?

We can find the highest common divisor of 768, 241, 462, 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 768, 241, 462, 480 i.e 1.

3. How can I use the GCD of 768, 241, 462, 480Calculator?

Out the numbers 768, 241, 462, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.