GCD of 254, 850, 982, 150 Calculator

Given Input numbers are 254, 850, 982, 150

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 982

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

1, 2, 491, 982

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

Greatest Common Divisior

We found the divisors of 254, 850, 982, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 850, 982, 150 is 2.

Therefore, GCD of numbers 254, 850, 982, 150 is 2

Given Input Data is 254, 850, 982, 150

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 982 is 2 x 491

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

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(254, 850) = 107950

GCD(254, 850) = ( 254 x 850 ) / 107950

GCD(254, 850) = 215900 / 107950

GCD(254, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 254, 850, 982, 150 is 2

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• GCD of 341, 208, 577, 611
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1. What is the GCD of 254, 850, 982, 150?

GCD of 254, 850, 982, 150 is 2

2. Where do I get the detailed procedure to find GCD of 254, 850, 982, 150?

You can find a detailed procedure to find GCD of 254, 850, 982, 150 on our page.

3. How to find GCD of 254, 850, 982, 150 on a calculator?

You can find the GCD of 254, 850, 982, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.