GCD of 609, 734, 902, 986 Calculator

Given Input numbers are 609, 734, 902, 986

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 734

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

1, 2, 367, 734

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

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 609, 734, 902, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 734, 902, 986 is 1.

Therefore, GCD of numbers 609, 734, 902, 986 is 1

Given Input Data is 609, 734, 902, 986

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 734 is 2 x 367

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 986 is 2 x 17 x 29

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(609, 734) = 447006

GCD(609, 734) = ( 609 x 734 ) / 447006

GCD(609, 734) = 447006 / 447006

GCD(609, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 609, 734, 902, 986 is 1

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1. What is the GCD of 609, 734, 902, 986?

GCD of 609, 734, 902, 986 is 1

2. Where do I get the detailed procedure to find GCD of 609, 734, 902, 986?

You can find a detailed procedure to find GCD of 609, 734, 902, 986 on our page.

3. How to find GCD of 609, 734, 902, 986 on a calculator?

You can find the GCD of 609, 734, 902, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.