GCD of 214, 189, 952, 548 Calculator

Given Input numbers are 214, 189, 952, 548

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 548

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

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 214, 189, 952, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 189, 952, 548 is 1.

Therefore, GCD of numbers 214, 189, 952, 548 is 1

Given Input Data is 214, 189, 952, 548

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 548 is 2 x 2 x 137

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(214, 189) = 40446

GCD(214, 189) = ( 214 x 189 ) / 40446

GCD(214, 189) = 40446 / 40446

GCD(214, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 214, 189, 952, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 646, 110, 484
• GCD of 186, 900, 620, 585
• GCD of 915, 929, 221, 950
• GCD of 469, 952, 396, 275
• GCD of 836, 819, 153, 896

1. What is the GCD of 214, 189, 952, 548?

GCD of 214, 189, 952, 548 is 1

2. Where do I get the detailed procedure to find GCD of 214, 189, 952, 548?

You can find a detailed procedure to find GCD of 214, 189, 952, 548 on our page.

3. How to find GCD of 214, 189, 952, 548 on a calculator?

You can find the GCD of 214, 189, 952, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.