GCD of 679, 707, 54, 574 Calculator

Given Input numbers are 679, 707, 54, 574

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 679, 707, 54, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 707, 54, 574 is 1.

Therefore, GCD of numbers 679, 707, 54, 574 is 1

Given Input Data is 679, 707, 54, 574

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 574 is 2 x 7 x 41

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(679, 707) = 68579

GCD(679, 707) = ( 679 x 707 ) / 68579

GCD(679, 707) = 480053 / 68579

GCD(679, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 54

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

LCM(7, 54) = 378

GCD(7, 54) = ( 7 x 54 ) / 378

GCD(7, 54) = 378 / 378

GCD(7, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 679, 707, 54, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 366, 15, 951
• GCD of 229, 293, 16, 721
• GCD of 325, 275, 84, 276
• GCD of 226, 320, 69, 285
• GCD of 741, 409, 66, 698

1. What is the GCD of 679, 707, 54, 574?

GCD of 679, 707, 54, 574 is 1

2. Where do I get the detailed procedure to find GCD of 679, 707, 54, 574?

You can find a detailed procedure to find GCD of 679, 707, 54, 574 on our page.

3. How to find GCD of 679, 707, 54, 574 on a calculator?

You can find the GCD of 679, 707, 54, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.