GCD of 705, 249, 65, 128 Calculator

Given Input numbers are 705, 249, 65, 128

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 705, 249, 65, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 249, 65, 128 is 1.

Therefore, GCD of numbers 705, 249, 65, 128 is 1

Given Input Data is 705, 249, 65, 128

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 249 is 3 x 83

Prime Factorization of 65 is 5 x 13

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 249) = 58515

GCD(705, 249) = ( 705 x 249 ) / 58515

GCD(705, 249) = 175545 / 58515

GCD(705, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 65

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

LCM(3, 65) = 195

GCD(3, 65) = ( 3 x 65 ) / 195

GCD(3, 65) = 195 / 195

GCD(3, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 705, 249, 65, 128 is 1

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1. What is the GCD of 705, 249, 65, 128?

GCD of 705, 249, 65, 128 is 1

2. Where do I get the detailed procedure to find GCD of 705, 249, 65, 128?

You can find a detailed procedure to find GCD of 705, 249, 65, 128 on our page.

3. How to find GCD of 705, 249, 65, 128 on a calculator?

You can find the GCD of 705, 249, 65, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.