GCD of 800, 354, 147, 282 Calculator

Given Input numbers are 800, 354, 147, 282

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 800, 354, 147, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 354, 147, 282 is 1.

Therefore, GCD of numbers 800, 354, 147, 282 is 1

Given Input Data is 800, 354, 147, 282

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 282 is 2 x 3 x 47

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(800, 354) = 141600

GCD(800, 354) = ( 800 x 354 ) / 141600

GCD(800, 354) = 283200 / 141600

GCD(800, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 800, 354, 147, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 191, 892, 179
• GCD of 617, 734, 954, 618
• GCD of 762, 923, 290, 195
• GCD of 295, 877, 991, 206
• GCD of 163, 190, 111, 285

1. What is the GCD of 800, 354, 147, 282?

GCD of 800, 354, 147, 282 is 1

2. Where do I get the detailed procedure to find GCD of 800, 354, 147, 282?

You can find a detailed procedure to find GCD of 800, 354, 147, 282 on our page.

3. How to find GCD of 800, 354, 147, 282 on a calculator?

You can find the GCD of 800, 354, 147, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.