GCD of 723, 651, 254, 776 Calculator

Given Input numbers are 723, 651, 254, 776

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 723, 651, 254, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 651, 254, 776 is 1.

Therefore, GCD of numbers 723, 651, 254, 776 is 1

Given Input Data is 723, 651, 254, 776

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 254 is 2 x 127

Prime Factorization of 776 is 2 x 2 x 2 x 97

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, 651) = 156891

GCD(723, 651) = ( 723 x 651 ) / 156891

GCD(723, 651) = 470673 / 156891

GCD(723, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 254

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

LCM(3, 254) = 762

GCD(3, 254) = ( 3 x 254 ) / 762

GCD(3, 254) = 762 / 762

GCD(3, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 723, 651, 254, 776 is 1

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1. What is the GCD of 723, 651, 254, 776?

GCD of 723, 651, 254, 776 is 1

2. Where do I get the detailed procedure to find GCD of 723, 651, 254, 776?

You can find a detailed procedure to find GCD of 723, 651, 254, 776 on our page.

3. How to find GCD of 723, 651, 254, 776 on a calculator?

You can find the GCD of 723, 651, 254, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.