GCD of 505, 588, 86, 849 Calculator

Given Input numbers are 505, 588, 86, 849

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 505, 588, 86, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 588, 86, 849 is 1.

Therefore, GCD of numbers 505, 588, 86, 849 is 1

Given Input Data is 505, 588, 86, 849

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 849 is 3 x 283

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(505, 588) = 296940

GCD(505, 588) = ( 505 x 588 ) / 296940

GCD(505, 588) = 296940 / 296940

GCD(505, 588) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 505, 588, 86, 849 is 1

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1. What is the GCD of 505, 588, 86, 849?

GCD of 505, 588, 86, 849 is 1

2. Where do I get the detailed procedure to find GCD of 505, 588, 86, 849?

You can find a detailed procedure to find GCD of 505, 588, 86, 849 on our page.

3. How to find GCD of 505, 588, 86, 849 on a calculator?

You can find the GCD of 505, 588, 86, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.