GCD of 705, 672, 240, 489 Calculator

Given Input numbers are 705, 672, 240, 489

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 705, 672, 240, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 672, 240, 489 is 3.

Therefore, GCD of numbers 705, 672, 240, 489 is 3

Given Input Data is 705, 672, 240, 489

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 489 is 3 x 163

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(705, 672) = 157920

GCD(705, 672) = ( 705 x 672 ) / 157920

GCD(705, 672) = 473760 / 157920

GCD(705, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 240

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

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

GCD(3, 240) = 720 / 240

GCD(3, 240) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 489

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

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

GCD(3, 489) = 1467 / 489

GCD(3, 489) = 3

GCD of 705, 672, 240, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 635, 138, 535
• GCD of 657, 869, 710, 530
• GCD of 824, 653, 279, 551
• GCD of 759, 612, 843, 282
• GCD of 711, 131, 501, 488

1. What is the GCD of 705, 672, 240, 489?

GCD of 705, 672, 240, 489 is 3

2. Where do I get the detailed procedure to find GCD of 705, 672, 240, 489?

You can find a detailed procedure to find GCD of 705, 672, 240, 489 on our page.

3. How to find GCD of 705, 672, 240, 489 on a calculator?

You can find the GCD of 705, 672, 240, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.