GCD of 276, 742, 854, 818 Calculator

Given Input numbers are 276, 742, 854, 818

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 276, 742, 854, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 742, 854, 818 is 2.

Therefore, GCD of numbers 276, 742, 854, 818 is 2

Given Input Data is 276, 742, 854, 818

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 818 is 2 x 409

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(276, 742) = 102396

GCD(276, 742) = ( 276 x 742 ) / 102396

GCD(276, 742) = 204792 / 102396

GCD(276, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 818

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

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

GCD(2, 818) = 1636 / 818

GCD(2, 818) = 2

GCD of 276, 742, 854, 818 is 2

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1. What is the GCD of 276, 742, 854, 818?

GCD of 276, 742, 854, 818 is 2

2. Where do I get the detailed procedure to find GCD of 276, 742, 854, 818?

You can find a detailed procedure to find GCD of 276, 742, 854, 818 on our page.

3. How to find GCD of 276, 742, 854, 818 on a calculator?

You can find the GCD of 276, 742, 854, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.