GCD of 46, 676, 824, 158 Calculator

Given Input numbers are 46, 676, 824, 158

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 46, 676, 824, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 676, 824, 158 is 2.

Therefore, GCD of numbers 46, 676, 824, 158 is 2

Given Input Data is 46, 676, 824, 158

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 158 is 2 x 79

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, 676) = 15548

GCD(46, 676) = ( 46 x 676 ) / 15548

GCD(46, 676) = 31096 / 15548

GCD(46, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 46, 676, 824, 158 is 2

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1. What is the GCD of 46, 676, 824, 158?

GCD of 46, 676, 824, 158 is 2

2. Where do I get the detailed procedure to find GCD of 46, 676, 824, 158?

You can find a detailed procedure to find GCD of 46, 676, 824, 158 on our page.

3. How to find GCD of 46, 676, 824, 158 on a calculator?

You can find the GCD of 46, 676, 824, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.