GCD of 112, 686, 115, 180 Calculator

Given Input numbers are 112, 686, 115, 180

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 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (112, 686, 115, 180) = 1.

Given numbers are 112, 686, 115, 180

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 686 are 2 x 7 x 7 x 7

Prime factors of 115 are 5 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 112, 686, 115, 180

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

Apply this formula for all numbers.

Step1:

LCM(112, 686) = 5488

GCD(112, 686) = ( 112 x 686 ) / 5488

= 112 / 686

= 112

Step2:

LCM(14, 115) = 1610

GCD(14, 115) = ( 14 x 115 ) / 1610

= 14 / 115

= 14

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 112, 686, 115, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 467, 899, 359
• GCD of 484, 808, 318, 121
• GCD of 986, 872, 126, 694
• GCD of 745, 457, 382, 336
• GCD of 298, 646, 819, 953

Given numbers are 112, 686, 115, 180
The greatest common divisor of numbers 112, 686, 115, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 686, 115, 180 is 1.

1. What is the GCD of 112, 686, 115, 180?

GCD of given numbers 112, 686, 115, 180 is 1

2. How to calculate the greatest common divisor of 112, 686, 115, 180?

We can find the highest common divisor of 112, 686, 115, 180 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, 686, 115, 180 i.e 1.

3. How can I use the GCD of 112, 686, 115, 180Calculator?

Out the numbers 112, 686, 115, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.