GCD of 928, 429, 715, 242 Calculator

Given Input numbers are 928, 429, 715, 242

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 928, 429, 715, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 429, 715, 242 is 1.

Therefore, GCD of numbers 928, 429, 715, 242 is 1

Given Input Data is 928, 429, 715, 242

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 242 is 2 x 11 x 11

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(928, 429) = 398112

GCD(928, 429) = ( 928 x 429 ) / 398112

GCD(928, 429) = 398112 / 398112

GCD(928, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 928, 429, 715, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 108, 949, 264
• GCD of 484, 256, 946, 828
• GCD of 307, 629, 297, 872
• GCD of 353, 777, 487, 857
• GCD of 320, 838, 127, 994

1. What is the GCD of 928, 429, 715, 242?

GCD of 928, 429, 715, 242 is 1

2. Where do I get the detailed procedure to find GCD of 928, 429, 715, 242?

You can find a detailed procedure to find GCD of 928, 429, 715, 242 on our page.

3. How to find GCD of 928, 429, 715, 242 on a calculator?

You can find the GCD of 928, 429, 715, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.