GCD of 448, 526, 97, 826 Calculator

Given Input numbers are 448, 526, 97, 826

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 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 448, 526, 97, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 526, 97, 826 is 1.

Therefore, GCD of numbers 448, 526, 97, 826 is 1

Given Input Data is 448, 526, 97, 826

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 526 is 2 x 263

Prime Factorization of 97 is 97

Prime Factorization of 826 is 2 x 7 x 59

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, 526) = 117824

GCD(448, 526) = ( 448 x 526 ) / 117824

GCD(448, 526) = 235648 / 117824

GCD(448, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 448, 526, 97, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 154, 31, 821
• GCD of 632, 146, 40, 734
• GCD of 970, 911, 83, 194
• GCD of 639, 866, 47, 965
• GCD of 562, 690, 85, 808

1. What is the GCD of 448, 526, 97, 826?

GCD of 448, 526, 97, 826 is 1

2. Where do I get the detailed procedure to find GCD of 448, 526, 97, 826?

You can find a detailed procedure to find GCD of 448, 526, 97, 826 on our page.

3. How to find GCD of 448, 526, 97, 826 on a calculator?

You can find the GCD of 448, 526, 97, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.