GCD of 455, 308, 98, 238 Calculator

Given Input numbers are 455, 308, 98, 238

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 455, 308, 98, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 308, 98, 238 is 7.

Therefore, GCD of numbers 455, 308, 98, 238 is 7

Given Input Data is 455, 308, 98, 238

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 238 is 2 x 7 x 17

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(455, 308) = 20020

GCD(455, 308) = ( 455 x 308 ) / 20020

GCD(455, 308) = 140140 / 20020

GCD(455, 308) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

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

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 238

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

LCM(7, 238) = 238

GCD(7, 238) = ( 7 x 238 ) / 238

GCD(7, 238) = 1666 / 238

GCD(7, 238) = 7

GCD of 455, 308, 98, 238 is 7

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• GCD of 633, 537, 53, 467
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• GCD of 822, 114, 41, 541

1. What is the GCD of 455, 308, 98, 238?

GCD of 455, 308, 98, 238 is 7

2. Where do I get the detailed procedure to find GCD of 455, 308, 98, 238?

You can find a detailed procedure to find GCD of 455, 308, 98, 238 on our page.

3. How to find GCD of 455, 308, 98, 238 on a calculator?

You can find the GCD of 455, 308, 98, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.