GCD of 140, 584, 999, 384 Calculator

Given Input numbers are 140, 584, 999, 384

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 584, 999, 384) = 1.

Given numbers are 140, 584, 999, 384

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 999 are 3 x 3 x 3 x 37

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

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

Given numbers are 140, 584, 999, 384

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

Apply this formula for all numbers.

Step1:

LCM(140, 584) = 20440

GCD(140, 584) = ( 140 x 584 ) / 20440

= 140 / 584

= 140

Step2:

LCM(4, 999) = 3996

GCD(4, 999) = ( 4 x 999 ) / 3996

= 4 / 999

= 4

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 140, 584, 999, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 517, 738, 569
• GCD of 940, 943, 980, 990
• GCD of 314, 549, 558, 630
• GCD of 892, 350, 201, 234
• GCD of 149, 336, 277, 458

Given numbers are 140, 584, 999, 384
The greatest common divisor of numbers 140, 584, 999, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 584, 999, 384 is 1.

1. What is the GCD of 140, 584, 999, 384?

GCD of given numbers 140, 584, 999, 384 is 1

2. How to calculate the greatest common divisor of 140, 584, 999, 384?

We can find the highest common divisor of 140, 584, 999, 384 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 140, 584, 999, 384 i.e 1.

3. How can I use the GCD of 140, 584, 999, 384Calculator?

Out the numbers 140, 584, 999, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.