GCD of 434, 986, 266, 480 Calculator

Given Input numbers are 434, 986, 266, 480

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 434, 986, 266, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 986, 266, 480 is 2.

Therefore, GCD of numbers 434, 986, 266, 480 is 2

Given Input Data is 434, 986, 266, 480

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(434, 986) = 213962

GCD(434, 986) = ( 434 x 986 ) / 213962

GCD(434, 986) = 427924 / 213962

GCD(434, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 434, 986, 266, 480 is 2

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1. What is the GCD of 434, 986, 266, 480?

GCD of 434, 986, 266, 480 is 2

2. Where do I get the detailed procedure to find GCD of 434, 986, 266, 480?

You can find a detailed procedure to find GCD of 434, 986, 266, 480 on our page.

3. How to find GCD of 434, 986, 266, 480 on a calculator?

You can find the GCD of 434, 986, 266, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.