GCD of 314, 121, 88, 242 Calculator

Given Input numbers are 314, 121, 88, 242

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 121

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

1, 11, 121

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 314, 121, 88, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 121, 88, 242 is 1.

Therefore, GCD of numbers 314, 121, 88, 242 is 1

Given Input Data is 314, 121, 88, 242

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 121 is 11 x 11

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 242 is 2 x 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(314, 121) = 37994

GCD(314, 121) = ( 314 x 121 ) / 37994

GCD(314, 121) = 37994 / 37994

GCD(314, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 314, 121, 88, 242 is 1

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• GCD of 822, 220, 23, 715
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• GCD of 967, 815, 87, 237

1. What is the GCD of 314, 121, 88, 242?

GCD of 314, 121, 88, 242 is 1

2. Where do I get the detailed procedure to find GCD of 314, 121, 88, 242?

You can find a detailed procedure to find GCD of 314, 121, 88, 242 on our page.

3. How to find GCD of 314, 121, 88, 242 on a calculator?

You can find the GCD of 314, 121, 88, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.