GCD of 424, 986, 770 Calculator

Given Input numbers are 424, 986, 770

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 424, 986, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 986, 770 is 2.

Therefore, GCD of numbers 424, 986, 770 is 2

Given Input Data is 424, 986, 770

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(424, 986) = 209032

GCD(424, 986) = ( 424 x 986 ) / 209032

GCD(424, 986) = 418064 / 209032

GCD(424, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 424, 986, 770 is 2

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1. What is the GCD of 424, 986, 770?

GCD of 424, 986, 770 is 2

2. Where do I get the detailed procedure to find GCD of 424, 986, 770?

You can find a detailed procedure to find GCD of 424, 986, 770 on our page.

3. How to find GCD of 424, 986, 770 on a calculator?

You can find the GCD of 424, 986, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.