GCD of 892, 728, 610, 244 Calculator

Given Input numbers are 892, 728, 610, 244

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Greatest Common Divisior

We found the divisors of 892, 728, 610, 244 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 728, 610, 244 is 2.

Therefore, GCD of numbers 892, 728, 610, 244 is 2

Given Input Data is 892, 728, 610, 244

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 244 is 2 x 2 x 61

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(892, 728) = 162344

GCD(892, 728) = ( 892 x 728 ) / 162344

GCD(892, 728) = 649376 / 162344

GCD(892, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 610

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

LCM(4, 610) = 1220

GCD(4, 610) = ( 4 x 610 ) / 1220

GCD(4, 610) = 2440 / 1220

GCD(4, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 244

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

LCM(2, 244) = 244

GCD(2, 244) = ( 2 x 244 ) / 244

GCD(2, 244) = 488 / 244

GCD(2, 244) = 2

GCD of 892, 728, 610, 244 is 2

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1. What is the GCD of 892, 728, 610, 244?

GCD of 892, 728, 610, 244 is 2

2. Where do I get the detailed procedure to find GCD of 892, 728, 610, 244?

You can find a detailed procedure to find GCD of 892, 728, 610, 244 on our page.

3. How to find GCD of 892, 728, 610, 244 on a calculator?

You can find the GCD of 892, 728, 610, 244 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.