GCD of 986, 209, 65, 784 Calculator

Given Input numbers are 986, 209, 65, 784

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

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 986, 209, 65, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 209, 65, 784 is 1.

Therefore, GCD of numbers 986, 209, 65, 784 is 1

Given Input Data is 986, 209, 65, 784

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 209 is 11 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(986, 209) = 206074

GCD(986, 209) = ( 986 x 209 ) / 206074

GCD(986, 209) = 206074 / 206074

GCD(986, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 986, 209, 65, 784 is 1

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1. What is the GCD of 986, 209, 65, 784?

GCD of 986, 209, 65, 784 is 1

2. Where do I get the detailed procedure to find GCD of 986, 209, 65, 784?

You can find a detailed procedure to find GCD of 986, 209, 65, 784 on our page.

3. How to find GCD of 986, 209, 65, 784 on a calculator?

You can find the GCD of 986, 209, 65, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.