GCD of 492, 416, 88, 936 Calculator

Given Input numbers are 492, 416, 88, 936

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

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

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 492, 416, 88, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 416, 88, 936 is 4.

Therefore, GCD of numbers 492, 416, 88, 936 is 4

Given Input Data is 492, 416, 88, 936

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

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

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(492, 416) = 51168

GCD(492, 416) = ( 492 x 416 ) / 51168

GCD(492, 416) = 204672 / 51168

GCD(492, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 88

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

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

GCD(4, 88) = 352 / 88

GCD(4, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 936

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

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

GCD(4, 936) = 3744 / 936

GCD(4, 936) = 4

GCD of 492, 416, 88, 936 is 4

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1. What is the GCD of 492, 416, 88, 936?

GCD of 492, 416, 88, 936 is 4

2. Where do I get the detailed procedure to find GCD of 492, 416, 88, 936?

You can find a detailed procedure to find GCD of 492, 416, 88, 936 on our page.

3. How to find GCD of 492, 416, 88, 936 on a calculator?

You can find the GCD of 492, 416, 88, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.