GCD of 986, 732, 469, 807 Calculator

Given Input numbers are 986, 732, 469, 807

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 986, 732, 469, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 732, 469, 807 is 1.

Therefore, GCD of numbers 986, 732, 469, 807 is 1

Given Input Data is 986, 732, 469, 807

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 469 is 7 x 67

Prime Factorization of 807 is 3 x 269

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, 732) = 360876

GCD(986, 732) = ( 986 x 732 ) / 360876

GCD(986, 732) = 721752 / 360876

GCD(986, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 986, 732, 469, 807 is 1

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1. What is the GCD of 986, 732, 469, 807?

GCD of 986, 732, 469, 807 is 1

2. Where do I get the detailed procedure to find GCD of 986, 732, 469, 807?

You can find a detailed procedure to find GCD of 986, 732, 469, 807 on our page.

3. How to find GCD of 986, 732, 469, 807 on a calculator?

You can find the GCD of 986, 732, 469, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.