GCD of 112, 180, 61, 860 Calculator

Given Input numbers are 112, 180, 61, 860

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 112, 180, 61, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 180, 61, 860 is 1.

Therefore, GCD of numbers 112, 180, 61, 860 is 1

Given Input Data is 112, 180, 61, 860

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 61 is 61

Prime Factorization of 860 is 2 x 2 x 5 x 43

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(112, 180) = 5040

GCD(112, 180) = ( 112 x 180 ) / 5040

GCD(112, 180) = 20160 / 5040

GCD(112, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 112, 180, 61, 860 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 251, 57, 565
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• GCD of 174, 752, 57, 813
• GCD of 617, 320, 81, 564

1. What is the GCD of 112, 180, 61, 860?

GCD of 112, 180, 61, 860 is 1

2. Where do I get the detailed procedure to find GCD of 112, 180, 61, 860?

You can find a detailed procedure to find GCD of 112, 180, 61, 860 on our page.

3. How to find GCD of 112, 180, 61, 860 on a calculator?

You can find the GCD of 112, 180, 61, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.