GCD of 468, 286, 100, 734 Calculator

Given Input numbers are 468, 286, 100, 734

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 468, 286, 100, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 286, 100, 734 is 2.

Therefore, GCD of numbers 468, 286, 100, 734 is 2

Given Input Data is 468, 286, 100, 734

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 734 is 2 x 367

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(468, 286) = 5148

GCD(468, 286) = ( 468 x 286 ) / 5148

GCD(468, 286) = 133848 / 5148

GCD(468, 286) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 100

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

LCM(26, 100) = 1300

GCD(26, 100) = ( 26 x 100 ) / 1300

GCD(26, 100) = 2600 / 1300

GCD(26, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 468, 286, 100, 734 is 2

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1. What is the GCD of 468, 286, 100, 734?

GCD of 468, 286, 100, 734 is 2

2. Where do I get the detailed procedure to find GCD of 468, 286, 100, 734?

You can find a detailed procedure to find GCD of 468, 286, 100, 734 on our page.

3. How to find GCD of 468, 286, 100, 734 on a calculator?

You can find the GCD of 468, 286, 100, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.