GCD of 128, 119, 769, 301 Calculator

Given Input numbers are 128, 119, 769, 301

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 128, 119, 769, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 119, 769, 301 is 1.

Therefore, GCD of numbers 128, 119, 769, 301 is 1

Given Input Data is 128, 119, 769, 301

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 119 is 7 x 17

Prime Factorization of 769 is 769

Prime Factorization of 301 is 7 x 43

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, 119) = 15232

GCD(128, 119) = ( 128 x 119 ) / 15232

GCD(128, 119) = 15232 / 15232

GCD(128, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 128, 119, 769, 301 is 1

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1. What is the GCD of 128, 119, 769, 301?

GCD of 128, 119, 769, 301 is 1

2. Where do I get the detailed procedure to find GCD of 128, 119, 769, 301?

You can find a detailed procedure to find GCD of 128, 119, 769, 301 on our page.

3. How to find GCD of 128, 119, 769, 301 on a calculator?

You can find the GCD of 128, 119, 769, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.