GCD of 753, 138, 21, 248 Calculator

Given Input numbers are 753, 138, 21, 248

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 753, 138, 21, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 138, 21, 248 is 1.

Therefore, GCD of numbers 753, 138, 21, 248 is 1

Given Input Data is 753, 138, 21, 248

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 21 is 3 x 7

Prime Factorization of 248 is 2 x 2 x 2 x 31

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(753, 138) = 34638

GCD(753, 138) = ( 753 x 138 ) / 34638

GCD(753, 138) = 103914 / 34638

GCD(753, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 248

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

LCM(3, 248) = 744

GCD(3, 248) = ( 3 x 248 ) / 744

GCD(3, 248) = 744 / 744

GCD(3, 248) = 1

GCD of 753, 138, 21, 248 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 840, 76, 254
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• GCD of 140, 720, 36, 118
• GCD of 396, 918, 86, 913
• GCD of 612, 586, 43, 137

1. What is the GCD of 753, 138, 21, 248?

GCD of 753, 138, 21, 248 is 1

2. Where do I get the detailed procedure to find GCD of 753, 138, 21, 248?

You can find a detailed procedure to find GCD of 753, 138, 21, 248 on our page.

3. How to find GCD of 753, 138, 21, 248 on a calculator?

You can find the GCD of 753, 138, 21, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.