GCD of 278, 338, 736, 946 Calculator

Given Input numbers are 278, 338, 736, 946

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 278, 338, 736, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 338, 736, 946 is 2.

Therefore, GCD of numbers 278, 338, 736, 946 is 2

Given Input Data is 278, 338, 736, 946

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 946 is 2 x 11 x 43

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, 338) = 46982

GCD(278, 338) = ( 278 x 338 ) / 46982

GCD(278, 338) = 93964 / 46982

GCD(278, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

GCD of 278, 338, 736, 946 is 2

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1. What is the GCD of 278, 338, 736, 946?

GCD of 278, 338, 736, 946 is 2

2. Where do I get the detailed procedure to find GCD of 278, 338, 736, 946?

You can find a detailed procedure to find GCD of 278, 338, 736, 946 on our page.

3. How to find GCD of 278, 338, 736, 946 on a calculator?

You can find the GCD of 278, 338, 736, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.