GCD of 984, 248, 22, 677 Calculator

Given Input numbers are 984, 248, 22, 677

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 984, 248, 22, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 248, 22, 677 is 1.

Therefore, GCD of numbers 984, 248, 22, 677 is 1

Given Input Data is 984, 248, 22, 677

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 677 is 677

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(984, 248) = 30504

GCD(984, 248) = ( 984 x 248 ) / 30504

GCD(984, 248) = 244032 / 30504

GCD(984, 248) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 22

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

LCM(8, 22) = 88

GCD(8, 22) = ( 8 x 22 ) / 88

GCD(8, 22) = 176 / 88

GCD(8, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 984, 248, 22, 677 is 1

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1. What is the GCD of 984, 248, 22, 677?

GCD of 984, 248, 22, 677 is 1

2. Where do I get the detailed procedure to find GCD of 984, 248, 22, 677?

You can find a detailed procedure to find GCD of 984, 248, 22, 677 on our page.

3. How to find GCD of 984, 248, 22, 677 on a calculator?

You can find the GCD of 984, 248, 22, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.