GCD of 208, 288, 140, 752 Calculator

Given Input numbers are 208, 288, 140, 752

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 208, 288, 140, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 288, 140, 752 is 4.

Therefore, GCD of numbers 208, 288, 140, 752 is 4

Given Input Data is 208, 288, 140, 752

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(208, 288) = 3744

GCD(208, 288) = ( 208 x 288 ) / 3744

GCD(208, 288) = 59904 / 3744

GCD(208, 288) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 140

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

LCM(16, 140) = 560

GCD(16, 140) = ( 16 x 140 ) / 560

GCD(16, 140) = 2240 / 560

GCD(16, 140) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 752

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

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

GCD(4, 752) = 3008 / 752

GCD(4, 752) = 4

GCD of 208, 288, 140, 752 is 4

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1. What is the GCD of 208, 288, 140, 752?

GCD of 208, 288, 140, 752 is 4

2. Where do I get the detailed procedure to find GCD of 208, 288, 140, 752?

You can find a detailed procedure to find GCD of 208, 288, 140, 752 on our page.

3. How to find GCD of 208, 288, 140, 752 on a calculator?

You can find the GCD of 208, 288, 140, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.