GCD of 46, 876, 138, 478 Calculator

Given Input numbers are 46, 876, 138, 478

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 478

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

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 46, 876, 138, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 876, 138, 478 is 2.

Therefore, GCD of numbers 46, 876, 138, 478 is 2

Given Input Data is 46, 876, 138, 478

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 478 is 2 x 239

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(46, 876) = 20148

GCD(46, 876) = ( 46 x 876 ) / 20148

GCD(46, 876) = 40296 / 20148

GCD(46, 876) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

GCD of 46, 876, 138, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 919, 509, 882
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• GCD of 91, 234, 569, 554

1. What is the GCD of 46, 876, 138, 478?

GCD of 46, 876, 138, 478 is 2

2. Where do I get the detailed procedure to find GCD of 46, 876, 138, 478?

You can find a detailed procedure to find GCD of 46, 876, 138, 478 on our page.

3. How to find GCD of 46, 876, 138, 478 on a calculator?

You can find the GCD of 46, 876, 138, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.