GCD of 350, 926, 986, 854 Calculator

Given Input numbers are 350, 926, 986, 854

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 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 350, 926, 986, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 926, 986, 854 is 2.

Therefore, GCD of numbers 350, 926, 986, 854 is 2

Given Input Data is 350, 926, 986, 854

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 926 is 2 x 463

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 854 is 2 x 7 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 926) = 162050

GCD(350, 926) = ( 350 x 926 ) / 162050

GCD(350, 926) = 324100 / 162050

GCD(350, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 350, 926, 986, 854 is 2

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1. What is the GCD of 350, 926, 986, 854?

GCD of 350, 926, 986, 854 is 2

2. Where do I get the detailed procedure to find GCD of 350, 926, 986, 854?

You can find a detailed procedure to find GCD of 350, 926, 986, 854 on our page.

3. How to find GCD of 350, 926, 986, 854 on a calculator?

You can find the GCD of 350, 926, 986, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.