GCD of 214, 530, 678, 975 Calculator

Given Input numbers are 214, 530, 678, 975

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 214, 530, 678, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 530, 678, 975 is 1.

Therefore, GCD of numbers 214, 530, 678, 975 is 1

Given Input Data is 214, 530, 678, 975

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 975 is 3 x 5 x 5 x 13

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, 530) = 56710

GCD(214, 530) = ( 214 x 530 ) / 56710

GCD(214, 530) = 113420 / 56710

GCD(214, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 214, 530, 678, 975 is 1

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1. What is the GCD of 214, 530, 678, 975?

GCD of 214, 530, 678, 975 is 1

2. Where do I get the detailed procedure to find GCD of 214, 530, 678, 975?

You can find a detailed procedure to find GCD of 214, 530, 678, 975 on our page.

3. How to find GCD of 214, 530, 678, 975 on a calculator?

You can find the GCD of 214, 530, 678, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.