GCD of 112, 409, 59, 993 Calculator

Given Input numbers are 112, 409, 59, 993

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 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 112, 409, 59, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 409, 59, 993 is 1.

Therefore, GCD of numbers 112, 409, 59, 993 is 1

Given Input Data is 112, 409, 59, 993

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 409 is 409

Prime Factorization of 59 is 59

Prime Factorization of 993 is 3 x 331

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, 409) = 45808

GCD(112, 409) = ( 112 x 409 ) / 45808

GCD(112, 409) = 45808 / 45808

GCD(112, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 112, 409, 59, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 399, 75, 921
• GCD of 953, 426, 63, 382
• GCD of 818, 817, 10, 882
• GCD of 422, 835, 93, 823
• GCD of 627, 994, 32, 615

1. What is the GCD of 112, 409, 59, 993?

GCD of 112, 409, 59, 993 is 1

2. Where do I get the detailed procedure to find GCD of 112, 409, 59, 993?

You can find a detailed procedure to find GCD of 112, 409, 59, 993 on our page.

3. How to find GCD of 112, 409, 59, 993 on a calculator?

You can find the GCD of 112, 409, 59, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.