GCD of 104, 968, 99, 946 Calculator

Given Input numbers are 104, 968, 99, 946

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 104, 968, 99, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 968, 99, 946 is 1.

Therefore, GCD of numbers 104, 968, 99, 946 is 1

Given Input Data is 104, 968, 99, 946

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 946 is 2 x 11 x 43

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(104, 968) = 12584

GCD(104, 968) = ( 104 x 968 ) / 12584

GCD(104, 968) = 100672 / 12584

GCD(104, 968) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 99

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

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

GCD(8, 99) = 792 / 792

GCD(8, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 104, 968, 99, 946 is 1

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• GCD of 917, 258, 49, 522
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• GCD of 164, 791, 99, 801

1. What is the GCD of 104, 968, 99, 946?

GCD of 104, 968, 99, 946 is 1

2. Where do I get the detailed procedure to find GCD of 104, 968, 99, 946?

You can find a detailed procedure to find GCD of 104, 968, 99, 946 on our page.

3. How to find GCD of 104, 968, 99, 946 on a calculator?

You can find the GCD of 104, 968, 99, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.