GCD of 58, 776, 314, 723 Calculator

Given Input numbers are 58, 776, 314, 723

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 776

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

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 58, 776, 314, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 776, 314, 723 is 1.

Therefore, GCD of numbers 58, 776, 314, 723 is 1

Given Input Data is 58, 776, 314, 723

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

Prime Factorization of 58 is 2 x 29

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 723 is 3 x 241

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(58, 776) = 22504

GCD(58, 776) = ( 58 x 776 ) / 22504

GCD(58, 776) = 45008 / 22504

GCD(58, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

GCD of 58, 776, 314, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 629, 387, 618
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• GCD of 87, 402, 583, 753

1. What is the GCD of 58, 776, 314, 723?

GCD of 58, 776, 314, 723 is 1

2. Where do I get the detailed procedure to find GCD of 58, 776, 314, 723?

You can find a detailed procedure to find GCD of 58, 776, 314, 723 on our page.

3. How to find GCD of 58, 776, 314, 723 on a calculator?

You can find the GCD of 58, 776, 314, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.