GCD of 226, 734, 986 Calculator

Given Input numbers are 226, 734, 986

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 986

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

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

Greatest Common Divisior

We found the divisors of 226, 734, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 734, 986 is 2.

Therefore, GCD of numbers 226, 734, 986 is 2

Given Input Data is 226, 734, 986

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 734 is 2 x 367

Prime Factorization of 986 is 2 x 17 x 29

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(226, 734) = 82942

GCD(226, 734) = ( 226 x 734 ) / 82942

GCD(226, 734) = 165884 / 82942

GCD(226, 734) = 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

GCD of 226, 734, 986 is 2

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1. What is the GCD of 226, 734, 986?

GCD of 226, 734, 986 is 2

2. Where do I get the detailed procedure to find GCD of 226, 734, 986?

You can find a detailed procedure to find GCD of 226, 734, 986 on our page.

3. How to find GCD of 226, 734, 986 on a calculator?

You can find the GCD of 226, 734, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.