GCD of 531, 210, 748, 110 Calculator

Given Input numbers are 531, 210, 748, 110

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 531, 210, 748, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 210, 748, 110 is 1.

Therefore, GCD of numbers 531, 210, 748, 110 is 1

Given Input Data is 531, 210, 748, 110

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 110 is 2 x 5 x 11

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(531, 210) = 37170

GCD(531, 210) = ( 531 x 210 ) / 37170

GCD(531, 210) = 111510 / 37170

GCD(531, 210) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 748

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

LCM(3, 748) = 2244

GCD(3, 748) = ( 3 x 748 ) / 2244

GCD(3, 748) = 2244 / 2244

GCD(3, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 531, 210, 748, 110 is 1

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1. What is the GCD of 531, 210, 748, 110?

GCD of 531, 210, 748, 110 is 1

2. Where do I get the detailed procedure to find GCD of 531, 210, 748, 110?

You can find a detailed procedure to find GCD of 531, 210, 748, 110 on our page.

3. How to find GCD of 531, 210, 748, 110 on a calculator?

You can find the GCD of 531, 210, 748, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.