GCD of 202, 992, 67, 198 Calculator

Given Input numbers are 202, 992, 67, 198

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 202, 992, 67, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 992, 67, 198 is 1.

Therefore, GCD of numbers 202, 992, 67, 198 is 1

Given Input Data is 202, 992, 67, 198

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 67 is 67

Prime Factorization of 198 is 2 x 3 x 3 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(202, 992) = 100192

GCD(202, 992) = ( 202 x 992 ) / 100192

GCD(202, 992) = 200384 / 100192

GCD(202, 992) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 202, 992, 67, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 197, 35, 908
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• GCD of 630, 469, 89, 308
• GCD of 490, 138, 24, 704
• GCD of 637, 422, 22, 250

1. What is the GCD of 202, 992, 67, 198?

GCD of 202, 992, 67, 198 is 1

2. Where do I get the detailed procedure to find GCD of 202, 992, 67, 198?

You can find a detailed procedure to find GCD of 202, 992, 67, 198 on our page.

3. How to find GCD of 202, 992, 67, 198 on a calculator?

You can find the GCD of 202, 992, 67, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.