GCD of 705, 168, 480, 349 Calculator

Given Input numbers are 705, 168, 480, 349

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 705, 168, 480, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 168, 480, 349 is 1.

Therefore, GCD of numbers 705, 168, 480, 349 is 1

Given Input Data is 705, 168, 480, 349

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 349 is 349

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(705, 168) = 39480

GCD(705, 168) = ( 705 x 168 ) / 39480

GCD(705, 168) = 118440 / 39480

GCD(705, 168) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

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

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

GCD of 705, 168, 480, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 139, 300, 913
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• GCD of 293, 408, 240, 875

1. What is the GCD of 705, 168, 480, 349?

GCD of 705, 168, 480, 349 is 1

2. Where do I get the detailed procedure to find GCD of 705, 168, 480, 349?

You can find a detailed procedure to find GCD of 705, 168, 480, 349 on our page.

3. How to find GCD of 705, 168, 480, 349 on a calculator?

You can find the GCD of 705, 168, 480, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.