GCD of 496, 150, 87, 982 Calculator

Given Input numbers are 496, 150, 87, 982

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 496, 150, 87, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 150, 87, 982 is 1.

Therefore, GCD of numbers 496, 150, 87, 982 is 1

Given Input Data is 496, 150, 87, 982

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 982 is 2 x 491

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(496, 150) = 37200

GCD(496, 150) = ( 496 x 150 ) / 37200

GCD(496, 150) = 74400 / 37200

GCD(496, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 496, 150, 87, 982 is 1

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1. What is the GCD of 496, 150, 87, 982?

GCD of 496, 150, 87, 982 is 1

2. Where do I get the detailed procedure to find GCD of 496, 150, 87, 982?

You can find a detailed procedure to find GCD of 496, 150, 87, 982 on our page.

3. How to find GCD of 496, 150, 87, 982 on a calculator?

You can find the GCD of 496, 150, 87, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.