GCD of 398, 710, 841, 528 Calculator

Given Input numbers are 398, 710, 841, 528

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 398, 710, 841, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 710, 841, 528 is 1.

Therefore, GCD of numbers 398, 710, 841, 528 is 1

Given Input Data is 398, 710, 841, 528

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 841 is 29 x 29

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(398, 710) = 141290

GCD(398, 710) = ( 398 x 710 ) / 141290

GCD(398, 710) = 282580 / 141290

GCD(398, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 398, 710, 841, 528 is 1

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• GCD of 479, 215, 862, 934
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1. What is the GCD of 398, 710, 841, 528?

GCD of 398, 710, 841, 528 is 1

2. Where do I get the detailed procedure to find GCD of 398, 710, 841, 528?

You can find a detailed procedure to find GCD of 398, 710, 841, 528 on our page.

3. How to find GCD of 398, 710, 841, 528 on a calculator?

You can find the GCD of 398, 710, 841, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.