GCD of 99, 834, 218, 948 Calculator

Given Input numbers are 99, 834, 218, 948

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 99, 834, 218, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 834, 218, 948 is 1.

Therefore, GCD of numbers 99, 834, 218, 948 is 1

Given Input Data is 99, 834, 218, 948

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 218 is 2 x 109

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(99, 834) = 27522

GCD(99, 834) = ( 99 x 834 ) / 27522

GCD(99, 834) = 82566 / 27522

GCD(99, 834) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 218

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

LCM(3, 218) = 654

GCD(3, 218) = ( 3 x 218 ) / 654

GCD(3, 218) = 654 / 654

GCD(3, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 99, 834, 218, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 652, 863, 293
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• GCD of 97, 492, 673, 648
• GCD of 14, 857, 683, 998

1. What is the GCD of 99, 834, 218, 948?

GCD of 99, 834, 218, 948 is 1

2. Where do I get the detailed procedure to find GCD of 99, 834, 218, 948?

You can find a detailed procedure to find GCD of 99, 834, 218, 948 on our page.

3. How to find GCD of 99, 834, 218, 948 on a calculator?

You can find the GCD of 99, 834, 218, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.