GCD of 468, 852, 416, 178 Calculator

Given Input numbers are 468, 852, 416, 178

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 468, 852, 416, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 852, 416, 178 is 2.

Therefore, GCD of numbers 468, 852, 416, 178 is 2

Given Input Data is 468, 852, 416, 178

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 178 is 2 x 89

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(468, 852) = 33228

GCD(468, 852) = ( 468 x 852 ) / 33228

GCD(468, 852) = 398736 / 33228

GCD(468, 852) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 416

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

LCM(12, 416) = 1248

GCD(12, 416) = ( 12 x 416 ) / 1248

GCD(12, 416) = 4992 / 1248

GCD(12, 416) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

GCD of 468, 852, 416, 178 is 2

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• GCD of 719, 349, 215, 841
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1. What is the GCD of 468, 852, 416, 178?

GCD of 468, 852, 416, 178 is 2

2. Where do I get the detailed procedure to find GCD of 468, 852, 416, 178?

You can find a detailed procedure to find GCD of 468, 852, 416, 178 on our page.

3. How to find GCD of 468, 852, 416, 178 on a calculator?

You can find the GCD of 468, 852, 416, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.