GCD of 708, 825, 298, 440 Calculator

Given Input numbers are 708, 825, 298, 440

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 708, 825, 298, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 825, 298, 440 is 1.

Therefore, GCD of numbers 708, 825, 298, 440 is 1

Given Input Data is 708, 825, 298, 440

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 298 is 2 x 149

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(708, 825) = 194700

GCD(708, 825) = ( 708 x 825 ) / 194700

GCD(708, 825) = 584100 / 194700

GCD(708, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 298

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

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

GCD(3, 298) = 894 / 894

GCD(3, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 708, 825, 298, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 290, 883, 283
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• GCD of 167, 888, 249, 441
• GCD of 293, 527, 297, 509
• GCD of 873, 655, 941, 274

1. What is the GCD of 708, 825, 298, 440?

GCD of 708, 825, 298, 440 is 1

2. Where do I get the detailed procedure to find GCD of 708, 825, 298, 440?

You can find a detailed procedure to find GCD of 708, 825, 298, 440 on our page.

3. How to find GCD of 708, 825, 298, 440 on a calculator?

You can find the GCD of 708, 825, 298, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.