GCD of 114, 655, 744, 340 Calculator

Given Input numbers are 114, 655, 744, 340

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 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

Greatest Common Divisior

We found the divisors of 114, 655, 744, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 655, 744, 340 is 1.

Therefore, GCD of numbers 114, 655, 744, 340 is 1

Given Input Data is 114, 655, 744, 340

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 655 is 5 x 131

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

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, 655) = 74670

GCD(114, 655) = ( 114 x 655 ) / 74670

GCD(114, 655) = 74670 / 74670

GCD(114, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 114, 655, 744, 340 is 1

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1. What is the GCD of 114, 655, 744, 340?

GCD of 114, 655, 744, 340 is 1

2. Where do I get the detailed procedure to find GCD of 114, 655, 744, 340?

You can find a detailed procedure to find GCD of 114, 655, 744, 340 on our page.

3. How to find GCD of 114, 655, 744, 340 on a calculator?

You can find the GCD of 114, 655, 744, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.