GCD of 548, 134, 193, 214 Calculator

Given Input numbers are 548, 134, 193, 214

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 548, 134, 193, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 134, 193, 214 is 1.

Therefore, GCD of numbers 548, 134, 193, 214 is 1

Given Input Data is 548, 134, 193, 214

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 134 is 2 x 67

Prime Factorization of 193 is 193

Prime Factorization of 214 is 2 x 107

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(548, 134) = 36716

GCD(548, 134) = ( 548 x 134 ) / 36716

GCD(548, 134) = 73432 / 36716

GCD(548, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 193

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

LCM(2, 193) = 386

GCD(2, 193) = ( 2 x 193 ) / 386

GCD(2, 193) = 386 / 386

GCD(2, 193) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 548, 134, 193, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 421, 932, 937
• GCD of 773, 442, 896, 238
• GCD of 490, 717, 924, 482
• GCD of 989, 334, 195, 463
• GCD of 618, 176, 911, 210

1. What is the GCD of 548, 134, 193, 214?

GCD of 548, 134, 193, 214 is 1

2. Where do I get the detailed procedure to find GCD of 548, 134, 193, 214?

You can find a detailed procedure to find GCD of 548, 134, 193, 214 on our page.

3. How to find GCD of 548, 134, 193, 214 on a calculator?

You can find the GCD of 548, 134, 193, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.