GCD of 128, 535, 316, 705 Calculator

Given Input numbers are 128, 535, 316, 705

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

Divisors of 128

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

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

Divisors of 535

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

1, 5, 107, 535

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 128, 535, 316, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 535, 316, 705 is 1.

Therefore, GCD of numbers 128, 535, 316, 705 is 1

Given Input Data is 128, 535, 316, 705

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

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 705 is 3 x 5 x 47

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(128, 535) = 68480

GCD(128, 535) = ( 128 x 535 ) / 68480

GCD(128, 535) = 68480 / 68480

GCD(128, 535) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 128, 535, 316, 705 is 1

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1. What is the GCD of 128, 535, 316, 705?

GCD of 128, 535, 316, 705 is 1

2. Where do I get the detailed procedure to find GCD of 128, 535, 316, 705?

You can find a detailed procedure to find GCD of 128, 535, 316, 705 on our page.

3. How to find GCD of 128, 535, 316, 705 on a calculator?

You can find the GCD of 128, 535, 316, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.