GCD of 278, 548, 398, 986 Calculator

Given Input numbers are 278, 548, 398, 986

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 278, 548, 398, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 548, 398, 986 is 2.

Therefore, GCD of numbers 278, 548, 398, 986 is 2

Given Input Data is 278, 548, 398, 986

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 398 is 2 x 199

Prime Factorization of 986 is 2 x 17 x 29

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, 548) = 76172

GCD(278, 548) = ( 278 x 548 ) / 76172

GCD(278, 548) = 152344 / 76172

GCD(278, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 278, 548, 398, 986 is 2

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1. What is the GCD of 278, 548, 398, 986?

GCD of 278, 548, 398, 986 is 2

2. Where do I get the detailed procedure to find GCD of 278, 548, 398, 986?

You can find a detailed procedure to find GCD of 278, 548, 398, 986 on our page.

3. How to find GCD of 278, 548, 398, 986 on a calculator?

You can find the GCD of 278, 548, 398, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.