GCD of 682, 341, 46, 112 Calculator

Given Input numbers are 682, 341, 46, 112

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 682, 341, 46, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 341, 46, 112 is 1.

Therefore, GCD of numbers 682, 341, 46, 112 is 1

Given Input Data is 682, 341, 46, 112

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 341 is 11 x 31

Prime Factorization of 46 is 2 x 23

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(682, 341) = 682

GCD(682, 341) = ( 682 x 341 ) / 682

GCD(682, 341) = 232562 / 682

GCD(682, 341) = 341

Step2:

Here we consider the GCD from the above i.e. 341 as first number and the next as 46

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

LCM(341, 46) = 15686

GCD(341, 46) = ( 341 x 46 ) / 15686

GCD(341, 46) = 15686 / 15686

GCD(341, 46) = 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 682, 341, 46, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 865, 19, 287
• GCD of 459, 361, 53, 803
• GCD of 165, 219, 26, 849
• GCD of 498, 713, 91, 968
• GCD of 184, 466, 76, 649

1. What is the GCD of 682, 341, 46, 112?

GCD of 682, 341, 46, 112 is 1

2. Where do I get the detailed procedure to find GCD of 682, 341, 46, 112?

You can find a detailed procedure to find GCD of 682, 341, 46, 112 on our page.

3. How to find GCD of 682, 341, 46, 112 on a calculator?

You can find the GCD of 682, 341, 46, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.