GCD of 384, 969, 791, 349 Calculator

Given Input numbers are 384, 969, 791, 349

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (384, 969, 791, 349) = 1.

Given numbers are 384, 969, 791, 349

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 969 are 3 x 17 x 19

Prime factors of 791 are 7 x 113

Prime factors of 349 are 349

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

Given numbers are 384, 969, 791, 349

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

Apply this formula for all numbers.

Step1:

LCM(384, 969) = 124032

GCD(384, 969) = ( 384 x 969 ) / 124032

= 384 / 969

= 384

Step2:

LCM(3, 791) = 2373

GCD(3, 791) = ( 3 x 791 ) / 2373

= 3 / 791

= 3

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 384, 969, 791, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 515, 194, 387
• GCD of 260, 814, 542, 554
• GCD of 851, 821, 959, 642
• GCD of 806, 103, 285, 572
• GCD of 681, 689, 759, 228

Given numbers are 384, 969, 791, 349
The greatest common divisor of numbers 384, 969, 791, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 969, 791, 349 is 1.

1. What is the GCD of 384, 969, 791, 349?

GCD of given numbers 384, 969, 791, 349 is 1

2. How to calculate the greatest common divisor of 384, 969, 791, 349?

We can find the highest common divisor of 384, 969, 791, 349 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 384, 969, 791, 349 i.e 1.

3. How can I use the GCD of 384, 969, 791, 349Calculator?

Out the numbers 384, 969, 791, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.