GCD of 15, 946, 945, 248 Calculator

Given Input numbers are 15, 946, 945, 248

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 15, 946, 945, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 946, 945, 248 is 1.

Therefore, GCD of numbers 15, 946, 945, 248 is 1

Given Input Data is 15, 946, 945, 248

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 248 is 2 x 2 x 2 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(15, 946) = 14190

GCD(15, 946) = ( 15 x 946 ) / 14190

GCD(15, 946) = 14190 / 14190

GCD(15, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 15, 946, 945, 248 is 1

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1. What is the GCD of 15, 946, 945, 248?

GCD of 15, 946, 945, 248 is 1

2. Where do I get the detailed procedure to find GCD of 15, 946, 945, 248?

You can find a detailed procedure to find GCD of 15, 946, 945, 248 on our page.

3. How to find GCD of 15, 946, 945, 248 on a calculator?

You can find the GCD of 15, 946, 945, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.