GCD of 732, 308, 56, 828 Calculator

Given Input numbers are 732, 308, 56, 828

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 732, 308, 56, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 308, 56, 828 is 4.

Therefore, GCD of numbers 732, 308, 56, 828 is 4

Given Input Data is 732, 308, 56, 828

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(732, 308) = 56364

GCD(732, 308) = ( 732 x 308 ) / 56364

GCD(732, 308) = 225456 / 56364

GCD(732, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 828

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

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

GCD(4, 828) = 3312 / 828

GCD(4, 828) = 4

GCD of 732, 308, 56, 828 is 4

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• GCD of 269, 443, 93, 293
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1. What is the GCD of 732, 308, 56, 828?

GCD of 732, 308, 56, 828 is 4

2. Where do I get the detailed procedure to find GCD of 732, 308, 56, 828?

You can find a detailed procedure to find GCD of 732, 308, 56, 828 on our page.

3. How to find GCD of 732, 308, 56, 828 on a calculator?

You can find the GCD of 732, 308, 56, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.