GCD of 678, 421, 121, 112 Calculator

Given Input numbers are 678, 421, 121, 112

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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

Greatest Common Divisior

We found the divisors of 678, 421, 121, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 421, 121, 112 is 1.

Therefore, GCD of numbers 678, 421, 121, 112 is 1

Given Input Data is 678, 421, 121, 112

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 421 is 421

Prime Factorization of 121 is 11 x 11

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

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(678, 421) = 285438

GCD(678, 421) = ( 678 x 421 ) / 285438

GCD(678, 421) = 285438 / 285438

GCD(678, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

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

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 678, 421, 121, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 727, 832, 850
• GCD of 202, 478, 912, 111
• GCD of 216, 424, 792, 872
• GCD of 840, 941, 589, 208
• GCD of 179, 741, 567, 448

1. What is the GCD of 678, 421, 121, 112?

GCD of 678, 421, 121, 112 is 1

2. Where do I get the detailed procedure to find GCD of 678, 421, 121, 112?

You can find a detailed procedure to find GCD of 678, 421, 121, 112 on our page.

3. How to find GCD of 678, 421, 121, 112 on a calculator?

You can find the GCD of 678, 421, 121, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.