GCD of 176, 649, 914, 981 Calculator

Given Input numbers are 176, 649, 914, 981

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 176, 649, 914, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 649, 914, 981 is 1.

Therefore, GCD of numbers 176, 649, 914, 981 is 1

Given Input Data is 176, 649, 914, 981

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 649 is 11 x 59

Prime Factorization of 914 is 2 x 457

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(176, 649) = 10384

GCD(176, 649) = ( 176 x 649 ) / 10384

GCD(176, 649) = 114224 / 10384

GCD(176, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 914

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

LCM(11, 914) = 10054

GCD(11, 914) = ( 11 x 914 ) / 10054

GCD(11, 914) = 10054 / 10054

GCD(11, 914) = 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 176, 649, 914, 981 is 1

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1. What is the GCD of 176, 649, 914, 981?

GCD of 176, 649, 914, 981 is 1

2. Where do I get the detailed procedure to find GCD of 176, 649, 914, 981?

You can find a detailed procedure to find GCD of 176, 649, 914, 981 on our page.

3. How to find GCD of 176, 649, 914, 981 on a calculator?

You can find the GCD of 176, 649, 914, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.