GCD of 478, 196, 71, 837 Calculator

Given Input numbers are 478, 196, 71, 837

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 71

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

1, 71

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 478, 196, 71, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 196, 71, 837 is 1.

Therefore, GCD of numbers 478, 196, 71, 837 is 1

Given Input Data is 478, 196, 71, 837

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 71 is 71

Prime Factorization of 837 is 3 x 3 x 3 x 31

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(478, 196) = 46844

GCD(478, 196) = ( 478 x 196 ) / 46844

GCD(478, 196) = 93688 / 46844

GCD(478, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 478, 196, 71, 837 is 1

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1. What is the GCD of 478, 196, 71, 837?

GCD of 478, 196, 71, 837 is 1

2. Where do I get the detailed procedure to find GCD of 478, 196, 71, 837?

You can find a detailed procedure to find GCD of 478, 196, 71, 837 on our page.

3. How to find GCD of 478, 196, 71, 837 on a calculator?

You can find the GCD of 478, 196, 71, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.