GCD of 849, 708, 55, 282 Calculator

Given Input numbers are 849, 708, 55, 282

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 849, 708, 55, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 708, 55, 282 is 1.

Therefore, GCD of numbers 849, 708, 55, 282 is 1

Given Input Data is 849, 708, 55, 282

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

Prime Factorization of 849 is 3 x 283

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

Prime Factorization of 55 is 5 x 11

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(849, 708) = 200364

GCD(849, 708) = ( 849 x 708 ) / 200364

GCD(849, 708) = 601092 / 200364

GCD(849, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 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 849, 708, 55, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 907, 55, 931
• GCD of 215, 523, 64, 791
• GCD of 497, 490, 13, 771
• GCD of 178, 460, 10, 241
• GCD of 127, 729, 28, 871

1. What is the GCD of 849, 708, 55, 282?

GCD of 849, 708, 55, 282 is 1

2. Where do I get the detailed procedure to find GCD of 849, 708, 55, 282?

You can find a detailed procedure to find GCD of 849, 708, 55, 282 on our page.

3. How to find GCD of 849, 708, 55, 282 on a calculator?

You can find the GCD of 849, 708, 55, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.