GCD of 274, 309, 78, 112 Calculator

Given Input numbers are 274, 309, 78, 112

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 274, 309, 78, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 309, 78, 112 is 1.

Therefore, GCD of numbers 274, 309, 78, 112 is 1

Given Input Data is 274, 309, 78, 112

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 309 is 3 x 103

Prime Factorization of 78 is 2 x 3 x 13

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(274, 309) = 84666

GCD(274, 309) = ( 274 x 309 ) / 84666

GCD(274, 309) = 84666 / 84666

GCD(274, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 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 274, 309, 78, 112 is 1

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1. What is the GCD of 274, 309, 78, 112?

GCD of 274, 309, 78, 112 is 1

2. Where do I get the detailed procedure to find GCD of 274, 309, 78, 112?

You can find a detailed procedure to find GCD of 274, 309, 78, 112 on our page.

3. How to find GCD of 274, 309, 78, 112 on a calculator?

You can find the GCD of 274, 309, 78, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.