GCD of 564, 986, 831, 112 Calculator

Given Input numbers are 564, 986, 831, 112

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

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 (564, 986, 831, 112) = 1.

Given numbers are 564, 986, 831, 112

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 986 are 2 x 17 x 29

Prime factors of 831 are 3 x 277

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 564, 986, 831, 112

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

Apply this formula for all numbers.

Step1:

LCM(564, 986) = 278052

GCD(564, 986) = ( 564 x 986 ) / 278052

= 564 / 986

= 564

Step2:

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

= 2 / 831

= 2

Step3:

LCM(1, 112) = 112

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

= 1 / 112

= 1

So, Greatest Common Divisor of 564, 986, 831, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 733, 312, 163
• GCD of 240, 510, 453, 563
• GCD of 906, 588, 105, 492
• GCD of 549, 620, 171, 487
• GCD of 584, 480, 447, 440

Given numbers are 564, 986, 831, 112
The greatest common divisor of numbers 564, 986, 831, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 986, 831, 112 is 1.

1. What is the GCD of 564, 986, 831, 112?

GCD of given numbers 564, 986, 831, 112 is 1

2. How to calculate the greatest common divisor of 564, 986, 831, 112?

We can find the highest common divisor of 564, 986, 831, 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 564, 986, 831, 112 i.e 1.

3. How can I use the GCD of 564, 986, 831, 112Calculator?

Out the numbers 564, 986, 831, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.