GCD of 476, 102, 134 Calculator

Given Input numbers are 476, 102, 134

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

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 476, 102, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 102, 134 is 2.

Therefore, GCD of numbers 476, 102, 134 is 2

Given Input Data is 476, 102, 134

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 134 is 2 x 67

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(476, 102) = 1428

GCD(476, 102) = ( 476 x 102 ) / 1428

GCD(476, 102) = 48552 / 1428

GCD(476, 102) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 134

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

LCM(34, 134) = 2278

GCD(34, 134) = ( 34 x 134 ) / 2278

GCD(34, 134) = 4556 / 2278

GCD(34, 134) = 2

GCD of 476, 102, 134 is 2

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1. What is the GCD of 476, 102, 134?

GCD of 476, 102, 134 is 2

2. Where do I get the detailed procedure to find GCD of 476, 102, 134?

You can find a detailed procedure to find GCD of 476, 102, 134 on our page.

3. How to find GCD of 476, 102, 134 on a calculator?

You can find the GCD of 476, 102, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.