GCD of 856, 298, 10, 790 Calculator

Given Input numbers are 856, 298, 10, 790

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 856, 298, 10, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 298, 10, 790 is 2.

Therefore, GCD of numbers 856, 298, 10, 790 is 2

Given Input Data is 856, 298, 10, 790

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 298 is 2 x 149

Prime Factorization of 10 is 2 x 5

Prime Factorization of 790 is 2 x 5 x 79

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(856, 298) = 127544

GCD(856, 298) = ( 856 x 298 ) / 127544

GCD(856, 298) = 255088 / 127544

GCD(856, 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 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 856, 298, 10, 790 is 2

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1. What is the GCD of 856, 298, 10, 790?

GCD of 856, 298, 10, 790 is 2

2. Where do I get the detailed procedure to find GCD of 856, 298, 10, 790?

You can find a detailed procedure to find GCD of 856, 298, 10, 790 on our page.

3. How to find GCD of 856, 298, 10, 790 on a calculator?

You can find the GCD of 856, 298, 10, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.