GCD of 302, 269, 461, 960 Calculator

Given Input numbers are 302, 269, 461, 960

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 302, 269, 461, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 269, 461, 960 is 1.

Therefore, GCD of numbers 302, 269, 461, 960 is 1

Given Input Data is 302, 269, 461, 960

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 269 is 269

Prime Factorization of 461 is 461

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(302, 269) = 81238

GCD(302, 269) = ( 302 x 269 ) / 81238

GCD(302, 269) = 81238 / 81238

GCD(302, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 302, 269, 461, 960 is 1

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• GCD of 379, 476, 128, 389
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1. What is the GCD of 302, 269, 461, 960?

GCD of 302, 269, 461, 960 is 1

2. Where do I get the detailed procedure to find GCD of 302, 269, 461, 960?

You can find a detailed procedure to find GCD of 302, 269, 461, 960 on our page.

3. How to find GCD of 302, 269, 461, 960 on a calculator?

You can find the GCD of 302, 269, 461, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.