GCD of 723, 543, 848, 126 Calculator

Given Input numbers are 723, 543, 848, 126

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 723, 543, 848, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 543, 848, 126 is 1.

Therefore, GCD of numbers 723, 543, 848, 126 is 1

Given Input Data is 723, 543, 848, 126

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 543 is 3 x 181

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 126 is 2 x 3 x 3 x 7

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(723, 543) = 130863

GCD(723, 543) = ( 723 x 543 ) / 130863

GCD(723, 543) = 392589 / 130863

GCD(723, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 848

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

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

GCD(3, 848) = 2544 / 2544

GCD(3, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 723, 543, 848, 126 is 1

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1. What is the GCD of 723, 543, 848, 126?

GCD of 723, 543, 848, 126 is 1

2. Where do I get the detailed procedure to find GCD of 723, 543, 848, 126?

You can find a detailed procedure to find GCD of 723, 543, 848, 126 on our page.

3. How to find GCD of 723, 543, 848, 126 on a calculator?

You can find the GCD of 723, 543, 848, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.