GCD of 434, 986, 251, 709 Calculator

Given Input numbers are 434, 986, 251, 709

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 434, 986, 251, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 986, 251, 709 is 1.

Therefore, GCD of numbers 434, 986, 251, 709 is 1

Given Input Data is 434, 986, 251, 709

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 251 is 251

Prime Factorization of 709 is 709

The above numbers do not have any common prime factor. So GCD is 1

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 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 434, 986, 251, 709 is 1

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1. What is the GCD of 434, 986, 251, 709?

GCD of 434, 986, 251, 709 is 1

2. Where do I get the detailed procedure to find GCD of 434, 986, 251, 709?

You can find a detailed procedure to find GCD of 434, 986, 251, 709 on our page.

3. How to find GCD of 434, 986, 251, 709 on a calculator?

You can find the GCD of 434, 986, 251, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.