GCD of 496, 858, 899, 291 Calculator

Given Input numbers are 496, 858, 899, 291

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 496, 858, 899, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 858, 899, 291 is 1.

Therefore, GCD of numbers 496, 858, 899, 291 is 1

Given Input Data is 496, 858, 899, 291

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 899 is 29 x 31

Prime Factorization of 291 is 3 x 97

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(496, 858) = 212784

GCD(496, 858) = ( 496 x 858 ) / 212784

GCD(496, 858) = 425568 / 212784

GCD(496, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 496, 858, 899, 291 is 1

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1. What is the GCD of 496, 858, 899, 291?

GCD of 496, 858, 899, 291 is 1

2. Where do I get the detailed procedure to find GCD of 496, 858, 899, 291?

You can find a detailed procedure to find GCD of 496, 858, 899, 291 on our page.

3. How to find GCD of 496, 858, 899, 291 on a calculator?

You can find the GCD of 496, 858, 899, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.