GCD of 560, 898, 994, 876 Calculator

Given Input numbers are 560, 898, 994, 876

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

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 560, 898, 994, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 898, 994, 876 is 2.

Therefore, GCD of numbers 560, 898, 994, 876 is 2

Given Input Data is 560, 898, 994, 876

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 898 is 2 x 449

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 876 is 2 x 2 x 3 x 73

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(560, 898) = 251440

GCD(560, 898) = ( 560 x 898 ) / 251440

GCD(560, 898) = 502880 / 251440

GCD(560, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 560, 898, 994, 876 is 2

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1. What is the GCD of 560, 898, 994, 876?

GCD of 560, 898, 994, 876 is 2

2. Where do I get the detailed procedure to find GCD of 560, 898, 994, 876?

You can find a detailed procedure to find GCD of 560, 898, 994, 876 on our page.

3. How to find GCD of 560, 898, 994, 876 on a calculator?

You can find the GCD of 560, 898, 994, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.