GCD of 659, 489, 647, 974 Calculator

Given Input numbers are 659, 489, 647, 974

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 659, 489, 647, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 489, 647, 974 is 1.

Therefore, GCD of numbers 659, 489, 647, 974 is 1

Given Input Data is 659, 489, 647, 974

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

Prime Factorization of 659 is 659

Prime Factorization of 489 is 3 x 163

Prime Factorization of 647 is 647

Prime Factorization of 974 is 2 x 487

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(659, 489) = 322251

GCD(659, 489) = ( 659 x 489 ) / 322251

GCD(659, 489) = 322251 / 322251

GCD(659, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 659, 489, 647, 974 is 1

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1. What is the GCD of 659, 489, 647, 974?

GCD of 659, 489, 647, 974 is 1

2. Where do I get the detailed procedure to find GCD of 659, 489, 647, 974?

You can find a detailed procedure to find GCD of 659, 489, 647, 974 on our page.

3. How to find GCD of 659, 489, 647, 974 on a calculator?

You can find the GCD of 659, 489, 647, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.