GCD of 950, 854, 34, 890 Calculator

Given Input numbers are 950, 854, 34, 890

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 854

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

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 950, 854, 34, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 854, 34, 890 is 2.

Therefore, GCD of numbers 950, 854, 34, 890 is 2

Given Input Data is 950, 854, 34, 890

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 34 is 2 x 17

Prime Factorization of 890 is 2 x 5 x 89

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(950, 854) = 405650

GCD(950, 854) = ( 950 x 854 ) / 405650

GCD(950, 854) = 811300 / 405650

GCD(950, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 950, 854, 34, 890 is 2

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1. What is the GCD of 950, 854, 34, 890?

GCD of 950, 854, 34, 890 is 2

2. Where do I get the detailed procedure to find GCD of 950, 854, 34, 890?

You can find a detailed procedure to find GCD of 950, 854, 34, 890 on our page.

3. How to find GCD of 950, 854, 34, 890 on a calculator?

You can find the GCD of 950, 854, 34, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.