GCD of 350, 989, 858, 312 Calculator

Given Input numbers are 350, 989, 858, 312

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 350, 989, 858, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 989, 858, 312 is 1.

Therefore, GCD of numbers 350, 989, 858, 312 is 1

Given Input Data is 350, 989, 858, 312

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 989 is 23 x 43

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(350, 989) = 346150

GCD(350, 989) = ( 350 x 989 ) / 346150

GCD(350, 989) = 346150 / 346150

GCD(350, 989) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 350, 989, 858, 312 is 1

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1. What is the GCD of 350, 989, 858, 312?

GCD of 350, 989, 858, 312 is 1

2. Where do I get the detailed procedure to find GCD of 350, 989, 858, 312?

You can find a detailed procedure to find GCD of 350, 989, 858, 312 on our page.

3. How to find GCD of 350, 989, 858, 312 on a calculator?

You can find the GCD of 350, 989, 858, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.