GCD of 222, 726, 60, 198 Calculator

Given Input numbers are 222, 726, 60, 198

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 222, 726, 60, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 726, 60, 198 is 6.

Therefore, GCD of numbers 222, 726, 60, 198 is 6

Given Input Data is 222, 726, 60, 198

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 198 is 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(222, 726) = 26862

GCD(222, 726) = ( 222 x 726 ) / 26862

GCD(222, 726) = 161172 / 26862

GCD(222, 726) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 198

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

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

GCD(6, 198) = 1188 / 198

GCD(6, 198) = 6

GCD of 222, 726, 60, 198 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 849, 21, 976
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• GCD of 180, 605, 71, 301
• GCD of 946, 117, 34, 487
• GCD of 918, 353, 64, 866

1. What is the GCD of 222, 726, 60, 198?

GCD of 222, 726, 60, 198 is 6

2. Where do I get the detailed procedure to find GCD of 222, 726, 60, 198?

You can find a detailed procedure to find GCD of 222, 726, 60, 198 on our page.

3. How to find GCD of 222, 726, 60, 198 on a calculator?

You can find the GCD of 222, 726, 60, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.