GCD of 179, 648, 705, 981 Calculator

Given Input numbers are 179, 648, 705, 981

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 179, 648, 705, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 648, 705, 981 is 1.

Therefore, GCD of numbers 179, 648, 705, 981 is 1

Given Input Data is 179, 648, 705, 981

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

Prime Factorization of 179 is 179

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 981 is 3 x 3 x 109

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(179, 648) = 115992

GCD(179, 648) = ( 179 x 648 ) / 115992

GCD(179, 648) = 115992 / 115992

GCD(179, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 179, 648, 705, 981 is 1

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1. What is the GCD of 179, 648, 705, 981?

GCD of 179, 648, 705, 981 is 1

2. Where do I get the detailed procedure to find GCD of 179, 648, 705, 981?

You can find a detailed procedure to find GCD of 179, 648, 705, 981 on our page.

3. How to find GCD of 179, 648, 705, 981 on a calculator?

You can find the GCD of 179, 648, 705, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.