GCD of 678, 476, 202 Calculator

Given Input numbers are 678, 476, 202

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 678, 476, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 476, 202 is 2.

Therefore, GCD of numbers 678, 476, 202 is 2

Given Input Data is 678, 476, 202

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 202 is 2 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(678, 476) = 161364

GCD(678, 476) = ( 678 x 476 ) / 161364

GCD(678, 476) = 322728 / 161364

GCD(678, 476) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 678, 476, 202 is 2

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1. What is the GCD of 678, 476, 202?

GCD of 678, 476, 202 is 2

2. Where do I get the detailed procedure to find GCD of 678, 476, 202?

You can find a detailed procedure to find GCD of 678, 476, 202 on our page.

3. How to find GCD of 678, 476, 202 on a calculator?

You can find the GCD of 678, 476, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.