GCD of 768, 398, 988, 463 Calculator

Given Input numbers are 768, 398, 988, 463

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

GCD of numbers is the greatest common divisor

So, the GCD (768, 398, 988, 463) = 1.

Given numbers are 768, 398, 988, 463

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 398 are 2 x 199

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 463 are 463

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

Given numbers are 768, 398, 988, 463

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

Apply this formula for all numbers.

Step1:

LCM(768, 398) = 152832

GCD(768, 398) = ( 768 x 398 ) / 152832

= 768 / 398

= 768

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 463) = 926

GCD(2, 463) = ( 2 x 463 ) / 926

= 2 / 463

= 2

So, Greatest Common Divisor of 768, 398, 988, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 460, 754, 135
• GCD of 562, 559, 645, 439
• GCD of 326, 905, 729, 462
• GCD of 295, 993, 203, 463
• GCD of 635, 592, 220, 359

Given numbers are 768, 398, 988, 463
The greatest common divisor of numbers 768, 398, 988, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 398, 988, 463 is 1.

1. What is the GCD of 768, 398, 988, 463?

GCD of given numbers 768, 398, 988, 463 is 1

2. How to calculate the greatest common divisor of 768, 398, 988, 463?

We can find the highest common divisor of 768, 398, 988, 463 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, 398, 988, 463 i.e 1.

3. How can I use the GCD of 768, 398, 988, 463Calculator?

Out the numbers 768, 398, 988, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.