GCD of 435, 343, 71, 121 Calculator

Given Input numbers are 435, 343, 71, 121

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 435, 343, 71, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 343, 71, 121 is 1.

Therefore, GCD of numbers 435, 343, 71, 121 is 1

Given Input Data is 435, 343, 71, 121

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 71 is 71

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(435, 343) = 149205

GCD(435, 343) = ( 435 x 343 ) / 149205

GCD(435, 343) = 149205 / 149205

GCD(435, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 435, 343, 71, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 204, 462, 53, 126
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• GCD of 508, 614, 31, 104

1. What is the GCD of 435, 343, 71, 121?

GCD of 435, 343, 71, 121 is 1

2. Where do I get the detailed procedure to find GCD of 435, 343, 71, 121?

You can find a detailed procedure to find GCD of 435, 343, 71, 121 on our page.

3. How to find GCD of 435, 343, 71, 121 on a calculator?

You can find the GCD of 435, 343, 71, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.