GCD of 766, 298, 10, 184 Calculator

Given Input numbers are 766, 298, 10, 184

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 766, 298, 10, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 298, 10, 184 is 2.

Therefore, GCD of numbers 766, 298, 10, 184 is 2

Given Input Data is 766, 298, 10, 184

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 298 is 2 x 149

Prime Factorization of 10 is 2 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(766, 298) = 114134

GCD(766, 298) = ( 766 x 298 ) / 114134

GCD(766, 298) = 228268 / 114134

GCD(766, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 766, 298, 10, 184 is 2

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• GCD of 613, 917, 80, 998
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1. What is the GCD of 766, 298, 10, 184?

GCD of 766, 298, 10, 184 is 2

2. Where do I get the detailed procedure to find GCD of 766, 298, 10, 184?

You can find a detailed procedure to find GCD of 766, 298, 10, 184 on our page.

3. How to find GCD of 766, 298, 10, 184 on a calculator?

You can find the GCD of 766, 298, 10, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.