GCD of 295, 140, 99, 858 Calculator

Given Input numbers are 295, 140, 99, 858

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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

Greatest Common Divisior

We found the divisors of 295, 140, 99, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 140, 99, 858 is 1.

Therefore, GCD of numbers 295, 140, 99, 858 is 1

Given Input Data is 295, 140, 99, 858

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 99 is 3 x 3 x 11

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

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(295, 140) = 8260

GCD(295, 140) = ( 295 x 140 ) / 8260

GCD(295, 140) = 41300 / 8260

GCD(295, 140) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 99

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

LCM(5, 99) = 495

GCD(5, 99) = ( 5 x 99 ) / 495

GCD(5, 99) = 495 / 495

GCD(5, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 295, 140, 99, 858 is 1

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1. What is the GCD of 295, 140, 99, 858?

GCD of 295, 140, 99, 858 is 1

2. Where do I get the detailed procedure to find GCD of 295, 140, 99, 858?

You can find a detailed procedure to find GCD of 295, 140, 99, 858 on our page.

3. How to find GCD of 295, 140, 99, 858 on a calculator?

You can find the GCD of 295, 140, 99, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.