GCD of 538, 922, 343, 112 Calculator

Given Input numbers are 538, 922, 343, 112

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 538, 922, 343, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 922, 343, 112 is 1.

Therefore, GCD of numbers 538, 922, 343, 112 is 1

Given Input Data is 538, 922, 343, 112

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 922 is 2 x 461

Prime Factorization of 343 is 7 x 7 x 7

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(538, 922) = 248018

GCD(538, 922) = ( 538 x 922 ) / 248018

GCD(538, 922) = 496036 / 248018

GCD(538, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 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 538, 922, 343, 112 is 1

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1. What is the GCD of 538, 922, 343, 112?

GCD of 538, 922, 343, 112 is 1

2. Where do I get the detailed procedure to find GCD of 538, 922, 343, 112?

You can find a detailed procedure to find GCD of 538, 922, 343, 112 on our page.

3. How to find GCD of 538, 922, 343, 112 on a calculator?

You can find the GCD of 538, 922, 343, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.