GCD of 160, 836, 312, 492 Calculator

Given Input numbers are 160, 836, 312, 492

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 160, 836, 312, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 836, 312, 492 is 4.

Therefore, GCD of numbers 160, 836, 312, 492 is 4

Given Input Data is 160, 836, 312, 492

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 492 is 2 x 2 x 3 x 41

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(160, 836) = 33440

GCD(160, 836) = ( 160 x 836 ) / 33440

GCD(160, 836) = 133760 / 33440

GCD(160, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 312

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

LCM(4, 312) = 312

GCD(4, 312) = ( 4 x 312 ) / 312

GCD(4, 312) = 1248 / 312

GCD(4, 312) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 492

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

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

GCD(4, 492) = 1968 / 492

GCD(4, 492) = 4

GCD of 160, 836, 312, 492 is 4

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1. What is the GCD of 160, 836, 312, 492?

GCD of 160, 836, 312, 492 is 4

2. Where do I get the detailed procedure to find GCD of 160, 836, 312, 492?

You can find a detailed procedure to find GCD of 160, 836, 312, 492 on our page.

3. How to find GCD of 160, 836, 312, 492 on a calculator?

You can find the GCD of 160, 836, 312, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.