GCD of 982, 871, 471, 414 Calculator

Given Input numbers are 982, 871, 471, 414

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 471

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

1, 3, 157, 471

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 982, 871, 471, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 871, 471, 414 is 1.

Therefore, GCD of numbers 982, 871, 471, 414 is 1

Given Input Data is 982, 871, 471, 414

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 871 is 13 x 67

Prime Factorization of 471 is 3 x 157

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(982, 871) = 855322

GCD(982, 871) = ( 982 x 871 ) / 855322

GCD(982, 871) = 855322 / 855322

GCD(982, 871) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 982, 871, 471, 414 is 1

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• GCD of 273, 234, 634, 338
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1. What is the GCD of 982, 871, 471, 414?

GCD of 982, 871, 471, 414 is 1

2. Where do I get the detailed procedure to find GCD of 982, 871, 471, 414?

You can find a detailed procedure to find GCD of 982, 871, 471, 414 on our page.

3. How to find GCD of 982, 871, 471, 414 on a calculator?

You can find the GCD of 982, 871, 471, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.