GCD of 280, 416, 94, 728 Calculator

Given Input numbers are 280, 416, 94, 728

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 280, 416, 94, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 416, 94, 728 is 2.

Therefore, GCD of numbers 280, 416, 94, 728 is 2

Given Input Data is 280, 416, 94, 728

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 94 is 2 x 47

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(280, 416) = 14560

GCD(280, 416) = ( 280 x 416 ) / 14560

GCD(280, 416) = 116480 / 14560

GCD(280, 416) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 94

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

LCM(8, 94) = 376

GCD(8, 94) = ( 8 x 94 ) / 376

GCD(8, 94) = 752 / 376

GCD(8, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 280, 416, 94, 728 is 2

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1. What is the GCD of 280, 416, 94, 728?

GCD of 280, 416, 94, 728 is 2

2. Where do I get the detailed procedure to find GCD of 280, 416, 94, 728?

You can find a detailed procedure to find GCD of 280, 416, 94, 728 on our page.

3. How to find GCD of 280, 416, 94, 728 on a calculator?

You can find the GCD of 280, 416, 94, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.