GCD of 732, 322, 610, 848 Calculator

Given Input numbers are 732, 322, 610, 848

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 732, 322, 610, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 322, 610, 848 is 2.

Therefore, GCD of numbers 732, 322, 610, 848 is 2

Given Input Data is 732, 322, 610, 848

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 322 is 2 x 7 x 23

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(732, 322) = 117852

GCD(732, 322) = ( 732 x 322 ) / 117852

GCD(732, 322) = 235704 / 117852

GCD(732, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

GCD of 732, 322, 610, 848 is 2

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1. What is the GCD of 732, 322, 610, 848?

GCD of 732, 322, 610, 848 is 2

2. Where do I get the detailed procedure to find GCD of 732, 322, 610, 848?

You can find a detailed procedure to find GCD of 732, 322, 610, 848 on our page.

3. How to find GCD of 732, 322, 610, 848 on a calculator?

You can find the GCD of 732, 322, 610, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.