GCD of 584, 798, 993, 112 Calculator

Given Input numbers are 584, 798, 993, 112

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

Divisors of 584 :

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

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (584, 798, 993, 112) = 1.

Given numbers are 584, 798, 993, 112

The list of prime factors of all numbers are

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

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 993 are 3 x 331

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 584, 798, 993, 112

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

Apply this formula for all numbers.

Step1:

LCM(584, 798) = 233016

GCD(584, 798) = ( 584 x 798 ) / 233016

= 584 / 798

= 584

Step2:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 584, 798, 993, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 273, 563, 221
• GCD of 532, 488, 109, 340
• GCD of 788, 958, 499, 106
• GCD of 745, 221, 738, 197
• GCD of 985, 374, 923, 323

Given numbers are 584, 798, 993, 112
The greatest common divisor of numbers 584, 798, 993, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 798, 993, 112 is 1.

1. What is the GCD of 584, 798, 993, 112?

GCD of given numbers 584, 798, 993, 112 is 1

2. How to calculate the greatest common divisor of 584, 798, 993, 112?

We can find the highest common divisor of 584, 798, 993, 112 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 584, 798, 993, 112 i.e 1.

3. How can I use the GCD of 584, 798, 993, 112Calculator?

Out the numbers 584, 798, 993, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.