GCD of 54, 769, 674, 683 Calculator

Given Input numbers are 54, 769, 674, 683

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 54, 769, 674, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 769, 674, 683 is 1.

Therefore, GCD of numbers 54, 769, 674, 683 is 1

Given Input Data is 54, 769, 674, 683

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 769 is 769

Prime Factorization of 674 is 2 x 337

Prime Factorization of 683 is 683

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(54, 769) = 41526

GCD(54, 769) = ( 54 x 769 ) / 41526

GCD(54, 769) = 41526 / 41526

GCD(54, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 54, 769, 674, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 110, 462, 750
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• GCD of 27, 763, 991, 331
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• GCD of 89, 995, 743, 766

1. What is the GCD of 54, 769, 674, 683?

GCD of 54, 769, 674, 683 is 1

2. Where do I get the detailed procedure to find GCD of 54, 769, 674, 683?

You can find a detailed procedure to find GCD of 54, 769, 674, 683 on our page.

3. How to find GCD of 54, 769, 674, 683 on a calculator?

You can find the GCD of 54, 769, 674, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.