GCD of 254, 974, 68, 234 Calculator

Given Input numbers are 254, 974, 68, 234

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 254, 974, 68, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 974, 68, 234 is 2.

Therefore, GCD of numbers 254, 974, 68, 234 is 2

Given Input Data is 254, 974, 68, 234

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 974 is 2 x 487

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(254, 974) = 123698

GCD(254, 974) = ( 254 x 974 ) / 123698

GCD(254, 974) = 247396 / 123698

GCD(254, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 254, 974, 68, 234 is 2

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1. What is the GCD of 254, 974, 68, 234?

GCD of 254, 974, 68, 234 is 2

2. Where do I get the detailed procedure to find GCD of 254, 974, 68, 234?

You can find a detailed procedure to find GCD of 254, 974, 68, 234 on our page.

3. How to find GCD of 254, 974, 68, 234 on a calculator?

You can find the GCD of 254, 974, 68, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.