GCD of 650, 152, 998, 656 Calculator

Given Input numbers are 650, 152, 998, 656

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 650, 152, 998, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 152, 998, 656 is 2.

Therefore, GCD of numbers 650, 152, 998, 656 is 2

Given Input Data is 650, 152, 998, 656

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 998 is 2 x 499

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(650, 152) = 49400

GCD(650, 152) = ( 650 x 152 ) / 49400

GCD(650, 152) = 98800 / 49400

GCD(650, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 656

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

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

GCD(2, 656) = 1312 / 656

GCD(2, 656) = 2

GCD of 650, 152, 998, 656 is 2

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1. What is the GCD of 650, 152, 998, 656?

GCD of 650, 152, 998, 656 is 2

2. Where do I get the detailed procedure to find GCD of 650, 152, 998, 656?

You can find a detailed procedure to find GCD of 650, 152, 998, 656 on our page.

3. How to find GCD of 650, 152, 998, 656 on a calculator?

You can find the GCD of 650, 152, 998, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.