GCD of 724, 584, 992, 384 Calculator

Given Input numbers are 724, 584, 992, 384

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 584 :

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

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 (724, 584, 992, 384) = 4.

Given numbers are 724, 584, 992, 384

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

The highest common occurrence is 2²

Therefore, GCD of 724, 584, 992, 384 is 4.

Given numbers are 724, 584, 992, 384

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

Apply this formula for all numbers.

Step1:

LCM(724, 584) = 105704

GCD(724, 584) = ( 724 x 584 ) / 105704

= 724 / 584

= 724

Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4

Step3:

LCM(4, 384) = 384

GCD(4, 384) = ( 4 x 384 ) / 384

= 4 / 384

= 4

So, Greatest Common Divisor of 724, 584, 992, 384 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 486, 834, 997
• GCD of 921, 540, 217, 842
• GCD of 848, 315, 884, 765
• GCD of 547, 146, 504, 555
• GCD of 787, 336, 775, 767

Given numbers are 724, 584, 992, 384
The greatest common divisor of numbers 724, 584, 992, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 584, 992, 384 is 4.

1. What is the GCD of 724, 584, 992, 384?

GCD of given numbers 724, 584, 992, 384 is 4

2. How to calculate the greatest common divisor of 724, 584, 992, 384?

We can find the highest common divisor of 724, 584, 992, 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 724, 584, 992, 384 i.e 4.

3. How can I use the GCD of 724, 584, 992, 384Calculator?

Out the numbers 724, 584, 992, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.