GCD of 121, 245, 35, 409 Calculator

Given Input numbers are 121, 245, 35, 409

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

Divisors of 121

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

1, 11, 121

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 121, 245, 35, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 245, 35, 409 is 1.

Therefore, GCD of numbers 121, 245, 35, 409 is 1

Given Input Data is 121, 245, 35, 409

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 35 is 5 x 7

Prime Factorization of 409 is 409

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(121, 245) = 29645

GCD(121, 245) = ( 121 x 245 ) / 29645

GCD(121, 245) = 29645 / 29645

GCD(121, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 121, 245, 35, 409 is 1

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• GCD of 177, 868, 45, 206
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• GCD of 488, 519, 77, 973

1. What is the GCD of 121, 245, 35, 409?

GCD of 121, 245, 35, 409 is 1

2. Where do I get the detailed procedure to find GCD of 121, 245, 35, 409?

You can find a detailed procedure to find GCD of 121, 245, 35, 409 on our page.

3. How to find GCD of 121, 245, 35, 409 on a calculator?

You can find the GCD of 121, 245, 35, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.