GCD of 34, 509, 986, 661 Calculator

Given Input numbers are 34, 509, 986, 661

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 34, 509, 986, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 509, 986, 661 is 1.

Therefore, GCD of numbers 34, 509, 986, 661 is 1

Given Input Data is 34, 509, 986, 661

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 509 is 509

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 661 is 661

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(34, 509) = 17306

GCD(34, 509) = ( 34 x 509 ) / 17306

GCD(34, 509) = 17306 / 17306

GCD(34, 509) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 34, 509, 986, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 314, 630, 734
• GCD of 22, 403, 961, 812
• GCD of 25, 939, 453, 336
• GCD of 43, 779, 426, 904
• GCD of 50, 916, 781, 408

1. What is the GCD of 34, 509, 986, 661?

GCD of 34, 509, 986, 661 is 1

2. Where do I get the detailed procedure to find GCD of 34, 509, 986, 661?

You can find a detailed procedure to find GCD of 34, 509, 986, 661 on our page.

3. How to find GCD of 34, 509, 986, 661 on a calculator?

You can find the GCD of 34, 509, 986, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.