GCD of 856, 560, 10, 992 Calculator

Given Input numbers are 856, 560, 10, 992

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 10

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

1, 2, 5, 10

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 856, 560, 10, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 560, 10, 992 is 2.

Therefore, GCD of numbers 856, 560, 10, 992 is 2

Given Input Data is 856, 560, 10, 992

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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, 560) = 59920

GCD(856, 560) = ( 856 x 560 ) / 59920

GCD(856, 560) = 479360 / 59920

GCD(856, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 10

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

LCM(8, 10) = 40

GCD(8, 10) = ( 8 x 10 ) / 40

GCD(8, 10) = 80 / 40

GCD(8, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 856, 560, 10, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 529, 53, 223
• GCD of 366, 537, 57, 857
• GCD of 275, 798, 33, 874
• GCD of 219, 237, 26, 407
• GCD of 702, 621, 90, 668

1. What is the GCD of 856, 560, 10, 992?

GCD of 856, 560, 10, 992 is 2

2. Where do I get the detailed procedure to find GCD of 856, 560, 10, 992?

You can find a detailed procedure to find GCD of 856, 560, 10, 992 on our page.

3. How to find GCD of 856, 560, 10, 992 on a calculator?

You can find the GCD of 856, 560, 10, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.