GCD of 954, 224, 940, 982 Calculator

Given Input numbers are 954, 224, 940, 982

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 954, 224, 940, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 224, 940, 982 is 2.

Therefore, GCD of numbers 954, 224, 940, 982 is 2

Given Input Data is 954, 224, 940, 982

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 982 is 2 x 491

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(954, 224) = 106848

GCD(954, 224) = ( 954 x 224 ) / 106848

GCD(954, 224) = 213696 / 106848

GCD(954, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

Step3:

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

GCD of 954, 224, 940, 982 is 2

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1. What is the GCD of 954, 224, 940, 982?

GCD of 954, 224, 940, 982 is 2

2. Where do I get the detailed procedure to find GCD of 954, 224, 940, 982?

You can find a detailed procedure to find GCD of 954, 224, 940, 982 on our page.

3. How to find GCD of 954, 224, 940, 982 on a calculator?

You can find the GCD of 954, 224, 940, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.