GCD of 946, 313, 54, 270 Calculator

Given Input numbers are 946, 313, 54, 270

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 946, 313, 54, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 313, 54, 270 is 1.

Therefore, GCD of numbers 946, 313, 54, 270 is 1

Given Input Data is 946, 313, 54, 270

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 313 is 313

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 270 is 2 x 3 x 3 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(946, 313) = 296098

GCD(946, 313) = ( 946 x 313 ) / 296098

GCD(946, 313) = 296098 / 296098

GCD(946, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 946, 313, 54, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 497, 25, 956
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• GCD of 570, 521, 66, 608

1. What is the GCD of 946, 313, 54, 270?

GCD of 946, 313, 54, 270 is 1

2. Where do I get the detailed procedure to find GCD of 946, 313, 54, 270?

You can find a detailed procedure to find GCD of 946, 313, 54, 270 on our page.

3. How to find GCD of 946, 313, 54, 270 on a calculator?

You can find the GCD of 946, 313, 54, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.