GCD of 448, 496, 436, 876 Calculator

Given Input numbers are 448, 496, 436, 876

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 448, 496, 436, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 496, 436, 876 is 4.

Therefore, GCD of numbers 448, 496, 436, 876 is 4

Given Input Data is 448, 496, 436, 876

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 436 is 2 x 2 x 109

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(448, 496) = 13888

GCD(448, 496) = ( 448 x 496 ) / 13888

GCD(448, 496) = 222208 / 13888

GCD(448, 496) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 436

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

LCM(16, 436) = 1744

GCD(16, 436) = ( 16 x 436 ) / 1744

GCD(16, 436) = 6976 / 1744

GCD(16, 436) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 876

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

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

GCD(4, 876) = 3504 / 876

GCD(4, 876) = 4

GCD of 448, 496, 436, 876 is 4

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1. What is the GCD of 448, 496, 436, 876?

GCD of 448, 496, 436, 876 is 4

2. Where do I get the detailed procedure to find GCD of 448, 496, 436, 876?

You can find a detailed procedure to find GCD of 448, 496, 436, 876 on our page.

3. How to find GCD of 448, 496, 436, 876 on a calculator?

You can find the GCD of 448, 496, 436, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.