GCD of 99, 402, 938, 220 Calculator

Given Input numbers are 99, 402, 938, 220

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 99, 402, 938, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 402, 938, 220 is 1.

Therefore, GCD of numbers 99, 402, 938, 220 is 1

Given Input Data is 99, 402, 938, 220

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 402 is 2 x 3 x 67

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 220 is 2 x 2 x 5 x 11

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, 402) = 13266

GCD(99, 402) = ( 99 x 402 ) / 13266

GCD(99, 402) = 39798 / 13266

GCD(99, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 99, 402, 938, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 861, 774, 252
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• GCD of 75, 128, 173, 132
• GCD of 61, 898, 812, 489

1. What is the GCD of 99, 402, 938, 220?

GCD of 99, 402, 938, 220 is 1

2. Where do I get the detailed procedure to find GCD of 99, 402, 938, 220?

You can find a detailed procedure to find GCD of 99, 402, 938, 220 on our page.

3. How to find GCD of 99, 402, 938, 220 on a calculator?

You can find the GCD of 99, 402, 938, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.