GCD of 741, 689, 380, 558 Calculator

Given Input numbers are 741, 689, 380, 558

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 741, 689, 380, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 689, 380, 558 is 1.

Therefore, GCD of numbers 741, 689, 380, 558 is 1

Given Input Data is 741, 689, 380, 558

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 689 is 13 x 53

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(741, 689) = 39273

GCD(741, 689) = ( 741 x 689 ) / 39273

GCD(741, 689) = 510549 / 39273

GCD(741, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 380

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

LCM(13, 380) = 4940

GCD(13, 380) = ( 13 x 380 ) / 4940

GCD(13, 380) = 4940 / 4940

GCD(13, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 741, 689, 380, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 158, 998, 528
• GCD of 129, 676, 713, 361
• GCD of 641, 833, 398, 525
• GCD of 313, 174, 244, 298
• GCD of 966, 508, 912, 362

1. What is the GCD of 741, 689, 380, 558?

GCD of 741, 689, 380, 558 is 1

2. Where do I get the detailed procedure to find GCD of 741, 689, 380, 558?

You can find a detailed procedure to find GCD of 741, 689, 380, 558 on our page.

3. How to find GCD of 741, 689, 380, 558 on a calculator?

You can find the GCD of 741, 689, 380, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.