GCD of 71, 986, 278, 479 Calculator

Given Input numbers are 71, 986, 278, 479

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

Divisors of 71

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

1, 71

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 479

List of positive integer divisors of 479 that divides 479 without a remainder.

1, 479

Greatest Common Divisior

We found the divisors of 71, 986, 278, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 986, 278, 479 is 1.

Therefore, GCD of numbers 71, 986, 278, 479 is 1

Given Input Data is 71, 986, 278, 479

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

Prime Factorization of 71 is 71

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 278 is 2 x 139

Prime Factorization of 479 is 479

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(71, 986) = 70006

GCD(71, 986) = ( 71 x 986 ) / 70006

GCD(71, 986) = 70006 / 70006

GCD(71, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 479

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

LCM(1, 479) = 479

GCD(1, 479) = ( 1 x 479 ) / 479

GCD(1, 479) = 479 / 479

GCD(1, 479) = 1

GCD of 71, 986, 278, 479 is 1

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1. What is the GCD of 71, 986, 278, 479?

GCD of 71, 986, 278, 479 is 1

2. Where do I get the detailed procedure to find GCD of 71, 986, 278, 479?

You can find a detailed procedure to find GCD of 71, 986, 278, 479 on our page.

3. How to find GCD of 71, 986, 278, 479 on a calculator?

You can find the GCD of 71, 986, 278, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.