GCD of 966, 118, 605, 914 Calculator

Given Input numbers are 966, 118, 605, 914

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 966, 118, 605, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 118, 605, 914 is 1.

Therefore, GCD of numbers 966, 118, 605, 914 is 1

Given Input Data is 966, 118, 605, 914

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 118 is 2 x 59

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 914 is 2 x 457

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(966, 118) = 56994

GCD(966, 118) = ( 966 x 118 ) / 56994

GCD(966, 118) = 113988 / 56994

GCD(966, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 966, 118, 605, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 273, 771, 828
• GCD of 282, 367, 609, 354
• GCD of 556, 201, 502, 993
• GCD of 128, 586, 125, 197
• GCD of 914, 776, 304, 609

1. What is the GCD of 966, 118, 605, 914?

GCD of 966, 118, 605, 914 is 1

2. Where do I get the detailed procedure to find GCD of 966, 118, 605, 914?

You can find a detailed procedure to find GCD of 966, 118, 605, 914 on our page.

3. How to find GCD of 966, 118, 605, 914 on a calculator?

You can find the GCD of 966, 118, 605, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.