GCD of 705, 650, 447, 535 Calculator

Given Input numbers are 705, 650, 447, 535

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 705, 650, 447, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 650, 447, 535 is 1.

Therefore, GCD of numbers 705, 650, 447, 535 is 1

Given Input Data is 705, 650, 447, 535

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 447 is 3 x 149

Prime Factorization of 535 is 5 x 107

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, 650) = 91650

GCD(705, 650) = ( 705 x 650 ) / 91650

GCD(705, 650) = 458250 / 91650

GCD(705, 650) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 447

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

LCM(5, 447) = 2235

GCD(5, 447) = ( 5 x 447 ) / 2235

GCD(5, 447) = 2235 / 2235

GCD(5, 447) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

GCD of 705, 650, 447, 535 is 1

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1. What is the GCD of 705, 650, 447, 535?

GCD of 705, 650, 447, 535 is 1

2. Where do I get the detailed procedure to find GCD of 705, 650, 447, 535?

You can find a detailed procedure to find GCD of 705, 650, 447, 535 on our page.

3. How to find GCD of 705, 650, 447, 535 on a calculator?

You can find the GCD of 705, 650, 447, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.