GCD of 478, 713, 686, 202 Calculator

Given Input numbers are 478, 713, 686, 202

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 478, 713, 686, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 713, 686, 202 is 1.

Therefore, GCD of numbers 478, 713, 686, 202 is 1

Given Input Data is 478, 713, 686, 202

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 713 is 23 x 31

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 202 is 2 x 101

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, 713) = 340814

GCD(478, 713) = ( 478 x 713 ) / 340814

GCD(478, 713) = 340814 / 340814

GCD(478, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 202

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

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

GCD(1, 202) = 202 / 202

GCD(1, 202) = 1

GCD of 478, 713, 686, 202 is 1

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1. What is the GCD of 478, 713, 686, 202?

GCD of 478, 713, 686, 202 is 1

2. Where do I get the detailed procedure to find GCD of 478, 713, 686, 202?

You can find a detailed procedure to find GCD of 478, 713, 686, 202 on our page.

3. How to find GCD of 478, 713, 686, 202 on a calculator?

You can find the GCD of 478, 713, 686, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.