GCD of 554, 278, 814, 674 Calculator

Given Input numbers are 554, 278, 814, 674

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 278

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

1, 2, 139, 278

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 554, 278, 814, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 278, 814, 674 is 2.

Therefore, GCD of numbers 554, 278, 814, 674 is 2

Given Input Data is 554, 278, 814, 674

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 278 is 2 x 139

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 674 is 2 x 337

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(554, 278) = 77006

GCD(554, 278) = ( 554 x 278 ) / 77006

GCD(554, 278) = 154012 / 77006

GCD(554, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 554, 278, 814, 674 is 2

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1. What is the GCD of 554, 278, 814, 674?

GCD of 554, 278, 814, 674 is 2

2. Where do I get the detailed procedure to find GCD of 554, 278, 814, 674?

You can find a detailed procedure to find GCD of 554, 278, 814, 674 on our page.

3. How to find GCD of 554, 278, 814, 674 on a calculator?

You can find the GCD of 554, 278, 814, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.