GCD of 654, 497, 986 Calculator

Given Input numbers are 654, 497, 986

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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 654, 497, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 497, 986 is 1.

Therefore, GCD of numbers 654, 497, 986 is 1

Given Input Data is 654, 497, 986

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 497 is 7 x 71

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(654, 497) = 325038

GCD(654, 497) = ( 654 x 497 ) / 325038

GCD(654, 497) = 325038 / 325038

GCD(654, 497) = 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

GCD of 654, 497, 986 is 1

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1. What is the GCD of 654, 497, 986?

GCD of 654, 497, 986 is 1

2. Where do I get the detailed procedure to find GCD of 654, 497, 986?

You can find a detailed procedure to find GCD of 654, 497, 986 on our page.

3. How to find GCD of 654, 497, 986 on a calculator?

You can find the GCD of 654, 497, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.