GCD of 270, 480, 741, 961 Calculator

Given Input numbers are 270, 480, 741, 961

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 270, 480, 741, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 480, 741, 961 is 1.

Therefore, GCD of numbers 270, 480, 741, 961 is 1

Given Input Data is 270, 480, 741, 961

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 961 is 31 x 31

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(270, 480) = 4320

GCD(270, 480) = ( 270 x 480 ) / 4320

GCD(270, 480) = 129600 / 4320

GCD(270, 480) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 741

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

LCM(30, 741) = 7410

GCD(30, 741) = ( 30 x 741 ) / 7410

GCD(30, 741) = 22230 / 7410

GCD(30, 741) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 961

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

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

GCD(3, 961) = 2883 / 2883

GCD(3, 961) = 1

GCD of 270, 480, 741, 961 is 1

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1. What is the GCD of 270, 480, 741, 961?

GCD of 270, 480, 741, 961 is 1

2. Where do I get the detailed procedure to find GCD of 270, 480, 741, 961?

You can find a detailed procedure to find GCD of 270, 480, 741, 961 on our page.

3. How to find GCD of 270, 480, 741, 961 on a calculator?

You can find the GCD of 270, 480, 741, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.