GCD of 248, 112, 66, 991 Calculator

Given Input numbers are 248, 112, 66, 991

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

Divisors of 248

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

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 248, 112, 66, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 112, 66, 991 is 1.

Therefore, GCD of numbers 248, 112, 66, 991 is 1

Given Input Data is 248, 112, 66, 991

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 991 is 991

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(248, 112) = 3472

GCD(248, 112) = ( 248 x 112 ) / 3472

GCD(248, 112) = 27776 / 3472

GCD(248, 112) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 66

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

LCM(8, 66) = 264

GCD(8, 66) = ( 8 x 66 ) / 264

GCD(8, 66) = 528 / 264

GCD(8, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

GCD of 248, 112, 66, 991 is 1

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1. What is the GCD of 248, 112, 66, 991?

GCD of 248, 112, 66, 991 is 1

2. Where do I get the detailed procedure to find GCD of 248, 112, 66, 991?

You can find a detailed procedure to find GCD of 248, 112, 66, 991 on our page.

3. How to find GCD of 248, 112, 66, 991 on a calculator?

You can find the GCD of 248, 112, 66, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.