GCD of 147, 813, 468, 986 Calculator

Given Input numbers are 147, 813, 468, 986

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 147, 813, 468, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 813, 468, 986 is 1.

Therefore, GCD of numbers 147, 813, 468, 986 is 1

Given Input Data is 147, 813, 468, 986

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 813 is 3 x 271

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(147, 813) = 39837

GCD(147, 813) = ( 147 x 813 ) / 39837

GCD(147, 813) = 119511 / 39837

GCD(147, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 468

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

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

GCD(3, 468) = 1404 / 468

GCD(3, 468) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 986

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

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

GCD(3, 986) = 2958 / 2958

GCD(3, 986) = 1

GCD of 147, 813, 468, 986 is 1

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1. What is the GCD of 147, 813, 468, 986?

GCD of 147, 813, 468, 986 is 1

2. Where do I get the detailed procedure to find GCD of 147, 813, 468, 986?

You can find a detailed procedure to find GCD of 147, 813, 468, 986 on our page.

3. How to find GCD of 147, 813, 468, 986 on a calculator?

You can find the GCD of 147, 813, 468, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.