GCD of 278, 668, 168, 983 Calculator

Given Input numbers are 278, 668, 168, 983

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 278, 668, 168, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 668, 168, 983 is 1.

Therefore, GCD of numbers 278, 668, 168, 983 is 1

Given Input Data is 278, 668, 168, 983

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 983 is 983

The above numbers do not have any common prime factor. So GCD is 1

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, 668) = 92852

GCD(278, 668) = ( 278 x 668 ) / 92852

GCD(278, 668) = 185704 / 92852

GCD(278, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 278, 668, 168, 983 is 1

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1. What is the GCD of 278, 668, 168, 983?

GCD of 278, 668, 168, 983 is 1

2. Where do I get the detailed procedure to find GCD of 278, 668, 168, 983?

You can find a detailed procedure to find GCD of 278, 668, 168, 983 on our page.

3. How to find GCD of 278, 668, 168, 983 on a calculator?

You can find the GCD of 278, 668, 168, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.