GCD of 984, 768, 311, 147 Calculator

Given Input numbers are 984, 768, 311, 147

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (984, 768, 311, 147) = 1.

Given numbers are 984, 768, 311, 147

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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 311 are 311

Prime factors of 147 are 3 x 7 x 7

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

Given numbers are 984, 768, 311, 147

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

Apply this formula for all numbers.

Step1:

LCM(984, 768) = 31488

GCD(984, 768) = ( 984 x 768 ) / 31488

= 984 / 768

= 984

Step2:

LCM(24, 311) = 7464

GCD(24, 311) = ( 24 x 311 ) / 7464

= 24 / 311

= 24

Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1

So, Greatest Common Divisor of 984, 768, 311, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 686, 517, 141
• GCD of 439, 501, 346, 615
• GCD of 664, 202, 249, 296
• GCD of 473, 537, 207, 489
• GCD of 878, 330, 498, 264

Given numbers are 984, 768, 311, 147
The greatest common divisor of numbers 984, 768, 311, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 768, 311, 147 is 1.

1. What is the GCD of 984, 768, 311, 147?

GCD of given numbers 984, 768, 311, 147 is 1

2. How to calculate the greatest common divisor of 984, 768, 311, 147?

We can find the highest common divisor of 984, 768, 311, 147 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 984, 768, 311, 147 i.e 1.

3. How can I use the GCD of 984, 768, 311, 147Calculator?

Out the numbers 984, 768, 311, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.