GCD of 448, 354, 91, 816 Calculator

Given Input numbers are 448, 354, 91, 816

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 448, 354, 91, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 354, 91, 816 is 1.

Therefore, GCD of numbers 448, 354, 91, 816 is 1

Given Input Data is 448, 354, 91, 816

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 354 is 2 x 3 x 59

Prime Factorization of 91 is 7 x 13

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 354) = 79296

GCD(448, 354) = ( 448 x 354 ) / 79296

GCD(448, 354) = 158592 / 79296

GCD(448, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 448, 354, 91, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 600, 87, 990
• GCD of 943, 307, 92, 247
• GCD of 535, 563, 35, 452
• GCD of 719, 824, 22, 965
• GCD of 206, 225, 25, 273

1. What is the GCD of 448, 354, 91, 816?

GCD of 448, 354, 91, 816 is 1

2. Where do I get the detailed procedure to find GCD of 448, 354, 91, 816?

You can find a detailed procedure to find GCD of 448, 354, 91, 816 on our page.

3. How to find GCD of 448, 354, 91, 816 on a calculator?

You can find the GCD of 448, 354, 91, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.