GCD of 315, 384, 242, 304 Calculator

Given Input numbers are 315, 384, 242, 304

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (315, 384, 242, 304) = 1.

Given numbers are 315, 384, 242, 304

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 315, 384, 242, 304

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

Apply this formula for all numbers.

Step1:

LCM(315, 384) = 40320

GCD(315, 384) = ( 315 x 384 ) / 40320

= 315 / 384

= 315

Step2:

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

= 3 / 242

= 3

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 315, 384, 242, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 502, 956, 992
• GCD of 575, 897, 858, 720
• GCD of 949, 469, 527, 444
• GCD of 980, 957, 741, 295
• GCD of 615, 221, 726, 828

Given numbers are 315, 384, 242, 304
The greatest common divisor of numbers 315, 384, 242, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 384, 242, 304 is 1.

1. What is the GCD of 315, 384, 242, 304?

GCD of given numbers 315, 384, 242, 304 is 1

2. How to calculate the greatest common divisor of 315, 384, 242, 304?

We can find the highest common divisor of 315, 384, 242, 304 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 315, 384, 242, 304 i.e 1.

3. How can I use the GCD of 315, 384, 242, 304Calculator?

Out the numbers 315, 384, 242, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.