GCD of 966, 198, 805, 140 Calculator

Given Input numbers are 966, 198, 805, 140

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 966, 198, 805, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 198, 805, 140 is 1.

Therefore, GCD of numbers 966, 198, 805, 140 is 1

Given Input Data is 966, 198, 805, 140

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 140 is 2 x 2 x 5 x 7

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, 198) = 31878

GCD(966, 198) = ( 966 x 198 ) / 31878

GCD(966, 198) = 191268 / 31878

GCD(966, 198) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 805

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

LCM(6, 805) = 4830

GCD(6, 805) = ( 6 x 805 ) / 4830

GCD(6, 805) = 4830 / 4830

GCD(6, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 966, 198, 805, 140 is 1

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1. What is the GCD of 966, 198, 805, 140?

GCD of 966, 198, 805, 140 is 1

2. Where do I get the detailed procedure to find GCD of 966, 198, 805, 140?

You can find a detailed procedure to find GCD of 966, 198, 805, 140 on our page.

3. How to find GCD of 966, 198, 805, 140 on a calculator?

You can find the GCD of 966, 198, 805, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.