GCD of 234, 548, 753, 418 Calculator

Given Input numbers are 234, 548, 753, 418

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

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 234, 548, 753, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 548, 753, 418 is 1.

Therefore, GCD of numbers 234, 548, 753, 418 is 1

Given Input Data is 234, 548, 753, 418

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

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 753 is 3 x 251

Prime Factorization of 418 is 2 x 11 x 19

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(234, 548) = 64116

GCD(234, 548) = ( 234 x 548 ) / 64116

GCD(234, 548) = 128232 / 64116

GCD(234, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 234, 548, 753, 418 is 1

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1. What is the GCD of 234, 548, 753, 418?

GCD of 234, 548, 753, 418 is 1

2. Where do I get the detailed procedure to find GCD of 234, 548, 753, 418?

You can find a detailed procedure to find GCD of 234, 548, 753, 418 on our page.

3. How to find GCD of 234, 548, 753, 418 on a calculator?

You can find the GCD of 234, 548, 753, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.