GCD of 235, 308, 98, 121 Calculator

Given Input numbers are 235, 308, 98, 121

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 235, 308, 98, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 308, 98, 121 is 1.

Therefore, GCD of numbers 235, 308, 98, 121 is 1

Given Input Data is 235, 308, 98, 121

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

Prime Factorization of 235 is 5 x 47

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 121 is 11 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(235, 308) = 72380

GCD(235, 308) = ( 235 x 308 ) / 72380

GCD(235, 308) = 72380 / 72380

GCD(235, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 235, 308, 98, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 312, 65, 598
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• GCD of 543, 258, 43, 497

1. What is the GCD of 235, 308, 98, 121?

GCD of 235, 308, 98, 121 is 1

2. Where do I get the detailed procedure to find GCD of 235, 308, 98, 121?

You can find a detailed procedure to find GCD of 235, 308, 98, 121 on our page.

3. How to find GCD of 235, 308, 98, 121 on a calculator?

You can find the GCD of 235, 308, 98, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.