GCD of 112, 802, 189, 585 Calculator

Given Input numbers are 112, 802, 189, 585

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

Divisors of 112 :

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

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (112, 802, 189, 585) = 1.

Given numbers are 112, 802, 189, 585

The list of prime factors of all numbers are

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

Prime factors of 802 are 2 x 401

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

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

Given numbers are 112, 802, 189, 585

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

Apply this formula for all numbers.

Step1:

LCM(112, 802) = 44912

GCD(112, 802) = ( 112 x 802 ) / 44912

= 112 / 802

= 112

Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 112, 802, 189, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 777, 559, 681
• GCD of 166, 153, 472, 602
• GCD of 827, 710, 879, 401
• GCD of 101, 986, 279, 757
• GCD of 650, 343, 993, 479

Given numbers are 112, 802, 189, 585
The greatest common divisor of numbers 112, 802, 189, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 802, 189, 585 is 1.

1. What is the GCD of 112, 802, 189, 585?

GCD of given numbers 112, 802, 189, 585 is 1

2. How to calculate the greatest common divisor of 112, 802, 189, 585?

We can find the highest common divisor of 112, 802, 189, 585 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 112, 802, 189, 585 i.e 1.

3. How can I use the GCD of 112, 802, 189, 585Calculator?

Out the numbers 112, 802, 189, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.