GCD of 448, 376, 90, 828 Calculator

Given Input numbers are 448, 376, 90, 828

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 448, 376, 90, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 376, 90, 828 is 2.

Therefore, GCD of numbers 448, 376, 90, 828 is 2

Given Input Data is 448, 376, 90, 828

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(448, 376) = 21056

GCD(448, 376) = ( 448 x 376 ) / 21056

GCD(448, 376) = 168448 / 21056

GCD(448, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

GCD of 448, 376, 90, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 691, 33, 783
• GCD of 937, 278, 17, 852
• GCD of 537, 533, 27, 944
• GCD of 367, 572, 69, 514
• GCD of 314, 988, 52, 781

1. What is the GCD of 448, 376, 90, 828?

GCD of 448, 376, 90, 828 is 2

2. Where do I get the detailed procedure to find GCD of 448, 376, 90, 828?

You can find a detailed procedure to find GCD of 448, 376, 90, 828 on our page.

3. How to find GCD of 448, 376, 90, 828 on a calculator?

You can find the GCD of 448, 376, 90, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.