GCD of 10, 242, 145, 471 Calculator

Given Input numbers are 10, 242, 145, 471

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 10, 242, 145, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 242, 145, 471 is 1.

Therefore, GCD of numbers 10, 242, 145, 471 is 1

Given Input Data is 10, 242, 145, 471

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 145 is 5 x 29

Prime Factorization of 471 is 3 x 157

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(10, 242) = 1210

GCD(10, 242) = ( 10 x 242 ) / 1210

GCD(10, 242) = 2420 / 1210

GCD(10, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 10, 242, 145, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 901, 954, 557
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• GCD of 63, 363, 373, 160

1. What is the GCD of 10, 242, 145, 471?

GCD of 10, 242, 145, 471 is 1

2. Where do I get the detailed procedure to find GCD of 10, 242, 145, 471?

You can find a detailed procedure to find GCD of 10, 242, 145, 471 on our page.

3. How to find GCD of 10, 242, 145, 471 on a calculator?

You can find the GCD of 10, 242, 145, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.