GCD of 114, 340, 79, 248 Calculator

Given Input numbers are 114, 340, 79, 248

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 114, 340, 79, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 340, 79, 248 is 1.

Therefore, GCD of numbers 114, 340, 79, 248 is 1

Given Input Data is 114, 340, 79, 248

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 79 is 79

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(114, 340) = 19380

GCD(114, 340) = ( 114 x 340 ) / 19380

GCD(114, 340) = 38760 / 19380

GCD(114, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 114, 340, 79, 248 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 776, 59, 283
• GCD of 224, 298, 80, 515
• GCD of 811, 863, 93, 895
• GCD of 863, 972, 84, 793
• GCD of 198, 582, 28, 452

1. What is the GCD of 114, 340, 79, 248?

GCD of 114, 340, 79, 248 is 1

2. Where do I get the detailed procedure to find GCD of 114, 340, 79, 248?

You can find a detailed procedure to find GCD of 114, 340, 79, 248 on our page.

3. How to find GCD of 114, 340, 79, 248 on a calculator?

You can find the GCD of 114, 340, 79, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.