GCD of 724, 650, 648, 110 Calculator

Given Input numbers are 724, 650, 648, 110

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 724, 650, 648, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 650, 648, 110 is 2.

Therefore, GCD of numbers 724, 650, 648, 110 is 2

Given Input Data is 724, 650, 648, 110

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 110 is 2 x 5 x 11

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(724, 650) = 235300

GCD(724, 650) = ( 724 x 650 ) / 235300

GCD(724, 650) = 470600 / 235300

GCD(724, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 724, 650, 648, 110 is 2

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1. What is the GCD of 724, 650, 648, 110?

GCD of 724, 650, 648, 110 is 2

2. Where do I get the detailed procedure to find GCD of 724, 650, 648, 110?

You can find a detailed procedure to find GCD of 724, 650, 648, 110 on our page.

3. How to find GCD of 724, 650, 648, 110 on a calculator?

You can find the GCD of 724, 650, 648, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.