GCD of 950, 986, 504, 890 Calculator

Given Input numbers are 950, 986, 504, 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 986

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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, 986, 504, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 986, 504, 890 is 2.

Therefore, GCD of numbers 950, 986, 504, 890 is 2

Given Input Data is 950, 986, 504, 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 986 is 2 x 17 x 29

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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, 986) = 468350

GCD(950, 986) = ( 950 x 986 ) / 468350

GCD(950, 986) = 936700 / 468350

GCD(950, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 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, 986, 504, 890 is 2

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1. What is the GCD of 950, 986, 504, 890?

GCD of 950, 986, 504, 890 is 2

2. Where do I get the detailed procedure to find GCD of 950, 986, 504, 890?

You can find a detailed procedure to find GCD of 950, 986, 504, 890 on our page.

3. How to find GCD of 950, 986, 504, 890 on a calculator?

You can find the GCD of 950, 986, 504, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.