GCD of 876, 898, 48, 778 Calculator

Given Input numbers are 876, 898, 48, 778

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 898

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

1, 2, 449, 898

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 876, 898, 48, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 898, 48, 778 is 2.

Therefore, GCD of numbers 876, 898, 48, 778 is 2

Given Input Data is 876, 898, 48, 778

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 898 is 2 x 449

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 778 is 2 x 389

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, 898) = 393324

GCD(876, 898) = ( 876 x 898 ) / 393324

GCD(876, 898) = 786648 / 393324

GCD(876, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 876, 898, 48, 778 is 2

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1. What is the GCD of 876, 898, 48, 778?

GCD of 876, 898, 48, 778 is 2

2. Where do I get the detailed procedure to find GCD of 876, 898, 48, 778?

You can find a detailed procedure to find GCD of 876, 898, 48, 778 on our page.

3. How to find GCD of 876, 898, 48, 778 on a calculator?

You can find the GCD of 876, 898, 48, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.