GCD of 240, 784, 199, 424 Calculator

Given Input numbers are 240, 784, 199, 424

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (240, 784, 199, 424) = 1.

Given numbers are 240, 784, 199, 424

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 199 are 199

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 240, 784, 199, 424

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

Apply this formula for all numbers.

Step1:

LCM(240, 784) = 11760

GCD(240, 784) = ( 240 x 784 ) / 11760

= 240 / 784

= 240

Step2:

LCM(16, 199) = 3184

GCD(16, 199) = ( 16 x 199 ) / 3184

= 16 / 199

= 16

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 240, 784, 199, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 438, 218, 911
• GCD of 791, 637, 485, 409
• GCD of 164, 845, 525, 631
• GCD of 709, 191, 445, 623
• GCD of 355, 951, 191, 426

Given numbers are 240, 784, 199, 424
The greatest common divisor of numbers 240, 784, 199, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 784, 199, 424 is 1.

1. What is the GCD of 240, 784, 199, 424?

GCD of given numbers 240, 784, 199, 424 is 1

2. How to calculate the greatest common divisor of 240, 784, 199, 424?

We can find the highest common divisor of 240, 784, 199, 424 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 240, 784, 199, 424 i.e 1.

3. How can I use the GCD of 240, 784, 199, 424Calculator?

Out the numbers 240, 784, 199, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.