GCD of 434, 458, 98, 708 Calculator

Given Input numbers are 434, 458, 98, 708

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 434, 458, 98, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 458, 98, 708 is 2.

Therefore, GCD of numbers 434, 458, 98, 708 is 2

Given Input Data is 434, 458, 98, 708

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 458 is 2 x 229

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(434, 458) = 99386

GCD(434, 458) = ( 434 x 458 ) / 99386

GCD(434, 458) = 198772 / 99386

GCD(434, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 434, 458, 98, 708 is 2

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1. What is the GCD of 434, 458, 98, 708?

GCD of 434, 458, 98, 708 is 2

2. Where do I get the detailed procedure to find GCD of 434, 458, 98, 708?

You can find a detailed procedure to find GCD of 434, 458, 98, 708 on our page.

3. How to find GCD of 434, 458, 98, 708 on a calculator?

You can find the GCD of 434, 458, 98, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.