GCD of 754, 527, 745, 489 Calculator

Given Input numbers are 754, 527, 745, 489

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 754, 527, 745, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 527, 745, 489 is 1.

Therefore, GCD of numbers 754, 527, 745, 489 is 1

Given Input Data is 754, 527, 745, 489

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 527 is 17 x 31

Prime Factorization of 745 is 5 x 149

Prime Factorization of 489 is 3 x 163

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(754, 527) = 397358

GCD(754, 527) = ( 754 x 527 ) / 397358

GCD(754, 527) = 397358 / 397358

GCD(754, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 754, 527, 745, 489 is 1

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1. What is the GCD of 754, 527, 745, 489?

GCD of 754, 527, 745, 489 is 1

2. Where do I get the detailed procedure to find GCD of 754, 527, 745, 489?

You can find a detailed procedure to find GCD of 754, 527, 745, 489 on our page.

3. How to find GCD of 754, 527, 745, 489 on a calculator?

You can find the GCD of 754, 527, 745, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.