GCD of 52, 98, 22 Calculator

Given Input numbers are 52, 98, 22

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 52, 98, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 98, 22 is 2.

Therefore, GCD of numbers 52, 98, 22 is 2

Given Input Data is 52, 98, 22

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 22 is 2 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(52, 98) = 2548

GCD(52, 98) = ( 52 x 98 ) / 2548

GCD(52, 98) = 5096 / 2548

GCD(52, 98) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

GCD of 52, 98, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 74, 40
• GCD of 59, 36, 73
• GCD of 14, 28, 99
• GCD of 92, 78, 42
• GCD of 51, 40, 96

1. What is the GCD of 52, 98, 22?

GCD of 52, 98, 22 is 2

2. Where do I get the detailed procedure to find GCD of 52, 98, 22?

You can find a detailed procedure to find GCD of 52, 98, 22 on our page.

3. How to find GCD of 52, 98, 22 on a calculator?

You can find the GCD of 52, 98, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.