GCD of 379, 540, 198, 114 Calculator

Given Input numbers are 379, 540, 198, 114

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 379, 540, 198, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 540, 198, 114 is 1.

Therefore, GCD of numbers 379, 540, 198, 114 is 1

Given Input Data is 379, 540, 198, 114

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

Prime Factorization of 379 is 379

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 114 is 2 x 3 x 19

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(379, 540) = 204660

GCD(379, 540) = ( 379 x 540 ) / 204660

GCD(379, 540) = 204660 / 204660

GCD(379, 540) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 379, 540, 198, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 542, 428, 307
• GCD of 937, 996, 376, 599
• GCD of 198, 761, 852, 282
• GCD of 220, 898, 895, 682
• GCD of 144, 976, 855, 342

1. What is the GCD of 379, 540, 198, 114?

GCD of 379, 540, 198, 114 is 1

2. Where do I get the detailed procedure to find GCD of 379, 540, 198, 114?

You can find a detailed procedure to find GCD of 379, 540, 198, 114 on our page.

3. How to find GCD of 379, 540, 198, 114 on a calculator?

You can find the GCD of 379, 540, 198, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.