GCD of 414, 412, 52, 158 Calculator

Given Input numbers are 414, 412, 52, 158

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 414, 412, 52, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 412, 52, 158 is 2.

Therefore, GCD of numbers 414, 412, 52, 158 is 2

Given Input Data is 414, 412, 52, 158

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 52 is 2 x 2 x 13

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(414, 412) = 85284

GCD(414, 412) = ( 414 x 412 ) / 85284

GCD(414, 412) = 170568 / 85284

GCD(414, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 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 414, 412, 52, 158 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 421, 41, 368
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• GCD of 879, 836, 35, 846
• GCD of 300, 526, 28, 592
• GCD of 248, 722, 96, 433

1. What is the GCD of 414, 412, 52, 158?

GCD of 414, 412, 52, 158 is 2

2. Where do I get the detailed procedure to find GCD of 414, 412, 52, 158?

You can find a detailed procedure to find GCD of 414, 412, 52, 158 on our page.

3. How to find GCD of 414, 412, 52, 158 on a calculator?

You can find the GCD of 414, 412, 52, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.