GCD of 706, 458, 98, 362 Calculator

Given Input numbers are 706, 458, 98, 362

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 706, 458, 98, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 458, 98, 362 is 2.

Therefore, GCD of numbers 706, 458, 98, 362 is 2

Given Input Data is 706, 458, 98, 362

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 458 is 2 x 229

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 362 is 2 x 181

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(706, 458) = 161674

GCD(706, 458) = ( 706 x 458 ) / 161674

GCD(706, 458) = 323348 / 161674

GCD(706, 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 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 706, 458, 98, 362 is 2

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• GCD of 909, 288, 40, 895
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1. What is the GCD of 706, 458, 98, 362?

GCD of 706, 458, 98, 362 is 2

2. Where do I get the detailed procedure to find GCD of 706, 458, 98, 362?

You can find a detailed procedure to find GCD of 706, 458, 98, 362 on our page.

3. How to find GCD of 706, 458, 98, 362 on a calculator?

You can find the GCD of 706, 458, 98, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.