GCD of 849, 748, 19, 143 Calculator

Given Input numbers are 849, 748, 19, 143

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 849, 748, 19, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 748, 19, 143 is 1.

Therefore, GCD of numbers 849, 748, 19, 143 is 1

Given Input Data is 849, 748, 19, 143

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

Prime Factorization of 849 is 3 x 283

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

Prime Factorization of 19 is 19

Prime Factorization of 143 is 11 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(849, 748) = 635052

GCD(849, 748) = ( 849 x 748 ) / 635052

GCD(849, 748) = 635052 / 635052

GCD(849, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 849, 748, 19, 143 is 1

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• GCD of 488, 126, 37, 863
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• GCD of 751, 734, 66, 428
• GCD of 387, 239, 72, 403

1. What is the GCD of 849, 748, 19, 143?

GCD of 849, 748, 19, 143 is 1

2. Where do I get the detailed procedure to find GCD of 849, 748, 19, 143?

You can find a detailed procedure to find GCD of 849, 748, 19, 143 on our page.

3. How to find GCD of 849, 748, 19, 143 on a calculator?

You can find the GCD of 849, 748, 19, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.