GCD of 428, 616, 69, 241 Calculator

Given Input numbers are 428, 616, 69, 241

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 428, 616, 69, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 616, 69, 241 is 1.

Therefore, GCD of numbers 428, 616, 69, 241 is 1

Given Input Data is 428, 616, 69, 241

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 241 is 241

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(428, 616) = 65912

GCD(428, 616) = ( 428 x 616 ) / 65912

GCD(428, 616) = 263648 / 65912

GCD(428, 616) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 69

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

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

GCD(4, 69) = 276 / 276

GCD(4, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 428, 616, 69, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 829, 53, 353
• GCD of 831, 495, 54, 972
• GCD of 852, 202, 70, 218
• GCD of 232, 728, 52, 464
• GCD of 322, 153, 98, 472

1. What is the GCD of 428, 616, 69, 241?

GCD of 428, 616, 69, 241 is 1

2. Where do I get the detailed procedure to find GCD of 428, 616, 69, 241?

You can find a detailed procedure to find GCD of 428, 616, 69, 241 on our page.

3. How to find GCD of 428, 616, 69, 241 on a calculator?

You can find the GCD of 428, 616, 69, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.