GCD of 49, 231, 822, 748 Calculator

Given Input numbers are 49, 231, 822, 748

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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

Greatest Common Divisior

We found the divisors of 49, 231, 822, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 231, 822, 748 is 1.

Therefore, GCD of numbers 49, 231, 822, 748 is 1

Given Input Data is 49, 231, 822, 748

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 822 is 2 x 3 x 137

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

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(49, 231) = 1617

GCD(49, 231) = ( 49 x 231 ) / 1617

GCD(49, 231) = 11319 / 1617

GCD(49, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 822

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

LCM(7, 822) = 5754

GCD(7, 822) = ( 7 x 822 ) / 5754

GCD(7, 822) = 5754 / 5754

GCD(7, 822) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 49, 231, 822, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 578, 625, 764
• GCD of 76, 319, 240, 250
• GCD of 17, 132, 840, 660
• GCD of 91, 187, 458, 567
• GCD of 67, 253, 913, 487

1. What is the GCD of 49, 231, 822, 748?

GCD of 49, 231, 822, 748 is 1

2. Where do I get the detailed procedure to find GCD of 49, 231, 822, 748?

You can find a detailed procedure to find GCD of 49, 231, 822, 748 on our page.

3. How to find GCD of 49, 231, 822, 748 on a calculator?

You can find the GCD of 49, 231, 822, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.