GCD of 428, 463, 34, 721 Calculator

Given Input numbers are 428, 463, 34, 721

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 428, 463, 34, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 463, 34, 721 is 1.

Therefore, GCD of numbers 428, 463, 34, 721 is 1

Given Input Data is 428, 463, 34, 721

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 463 is 463

Prime Factorization of 34 is 2 x 17

Prime Factorization of 721 is 7 x 103

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, 463) = 198164

GCD(428, 463) = ( 428 x 463 ) / 198164

GCD(428, 463) = 198164 / 198164

GCD(428, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 428, 463, 34, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 793, 83, 223
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• GCD of 232, 417, 39, 875
• GCD of 728, 260, 72, 806
• GCD of 249, 249, 80, 650

1. What is the GCD of 428, 463, 34, 721?

GCD of 428, 463, 34, 721 is 1

2. Where do I get the detailed procedure to find GCD of 428, 463, 34, 721?

You can find a detailed procedure to find GCD of 428, 463, 34, 721 on our page.

3. How to find GCD of 428, 463, 34, 721 on a calculator?

You can find the GCD of 428, 463, 34, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.