GCD of 876, 452, 42, 890 Calculator

Given Input numbers are 876, 452, 42, 890

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

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 876, 452, 42, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 452, 42, 890 is 2.

Therefore, GCD of numbers 876, 452, 42, 890 is 2

Given Input Data is 876, 452, 42, 890

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

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 890 is 2 x 5 x 89

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(876, 452) = 98988

GCD(876, 452) = ( 876 x 452 ) / 98988

GCD(876, 452) = 395952 / 98988

GCD(876, 452) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 876, 452, 42, 890 is 2

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1. What is the GCD of 876, 452, 42, 890?

GCD of 876, 452, 42, 890 is 2

2. Where do I get the detailed procedure to find GCD of 876, 452, 42, 890?

You can find a detailed procedure to find GCD of 876, 452, 42, 890 on our page.

3. How to find GCD of 876, 452, 42, 890 on a calculator?

You can find the GCD of 876, 452, 42, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.