GCD of 314, 610, 286, 950 Calculator

Given Input numbers are 314, 610, 286, 950

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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

Greatest Common Divisior

We found the divisors of 314, 610, 286, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 610, 286, 950 is 2.

Therefore, GCD of numbers 314, 610, 286, 950 is 2

Given Input Data is 314, 610, 286, 950

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 286 is 2 x 11 x 13

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

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(314, 610) = 95770

GCD(314, 610) = ( 314 x 610 ) / 95770

GCD(314, 610) = 191540 / 95770

GCD(314, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 286

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

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

GCD(2, 286) = 572 / 286

GCD(2, 286) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 314, 610, 286, 950 is 2

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1. What is the GCD of 314, 610, 286, 950?

GCD of 314, 610, 286, 950 is 2

2. Where do I get the detailed procedure to find GCD of 314, 610, 286, 950?

You can find a detailed procedure to find GCD of 314, 610, 286, 950 on our page.

3. How to find GCD of 314, 610, 286, 950 on a calculator?

You can find the GCD of 314, 610, 286, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.