GCD of 318, 428, 904, 940 Calculator

Given Input numbers are 318, 428, 904, 940

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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

Greatest Common Divisior

We found the divisors of 318, 428, 904, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 428, 904, 940 is 2.

Therefore, GCD of numbers 318, 428, 904, 940 is 2

Given Input Data is 318, 428, 904, 940

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

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(318, 428) = 68052

GCD(318, 428) = ( 318 x 428 ) / 68052

GCD(318, 428) = 136104 / 68052

GCD(318, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

Step3:

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

GCD of 318, 428, 904, 940 is 2

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• GCD of 826, 888, 264, 757
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• GCD of 468, 831, 835, 595
• GCD of 834, 341, 385, 234
• GCD of 346, 187, 933, 936

1. What is the GCD of 318, 428, 904, 940?

GCD of 318, 428, 904, 940 is 2

2. Where do I get the detailed procedure to find GCD of 318, 428, 904, 940?

You can find a detailed procedure to find GCD of 318, 428, 904, 940 on our page.

3. How to find GCD of 318, 428, 904, 940 on a calculator?

You can find the GCD of 318, 428, 904, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.