GCD of 117, 966, 60, 953 Calculator

Given Input numbers are 117, 966, 60, 953

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 117, 966, 60, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 966, 60, 953 is 1.

Therefore, GCD of numbers 117, 966, 60, 953 is 1

Given Input Data is 117, 966, 60, 953

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

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 953 is 953

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(117, 966) = 37674

GCD(117, 966) = ( 117 x 966 ) / 37674

GCD(117, 966) = 113022 / 37674

GCD(117, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 953

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

LCM(3, 953) = 2859

GCD(3, 953) = ( 3 x 953 ) / 2859

GCD(3, 953) = 2859 / 2859

GCD(3, 953) = 1

GCD of 117, 966, 60, 953 is 1

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• GCD of 792, 132, 41, 506
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1. What is the GCD of 117, 966, 60, 953?

GCD of 117, 966, 60, 953 is 1

2. Where do I get the detailed procedure to find GCD of 117, 966, 60, 953?

You can find a detailed procedure to find GCD of 117, 966, 60, 953 on our page.

3. How to find GCD of 117, 966, 60, 953 on a calculator?

You can find the GCD of 117, 966, 60, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.