GCD of 278, 940, 916 Calculator

Given Input numbers are 278, 940, 916

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 278, 940, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 940, 916 is 2.

Therefore, GCD of numbers 278, 940, 916 is 2

Given Input Data is 278, 940, 916

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

Prime Factorization of 278 is 2 x 139

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

Prime Factorization of 916 is 2 x 2 x 229

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(278, 940) = 130660

GCD(278, 940) = ( 278 x 940 ) / 130660

GCD(278, 940) = 261320 / 130660

GCD(278, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 278, 940, 916 is 2

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• GCD of 139, 425, 152
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1. What is the GCD of 278, 940, 916?

GCD of 278, 940, 916 is 2

2. Where do I get the detailed procedure to find GCD of 278, 940, 916?

You can find a detailed procedure to find GCD of 278, 940, 916 on our page.

3. How to find GCD of 278, 940, 916 on a calculator?

You can find the GCD of 278, 940, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.