GCD of 32, 880, 814, 829 Calculator

Given Input numbers are 32, 880, 814, 829

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 32, 880, 814, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 880, 814, 829 is 1.

Therefore, GCD of numbers 32, 880, 814, 829 is 1

Given Input Data is 32, 880, 814, 829

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 829 is 829

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(32, 880) = 1760

GCD(32, 880) = ( 32 x 880 ) / 1760

GCD(32, 880) = 28160 / 1760

GCD(32, 880) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 814

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

LCM(16, 814) = 6512

GCD(16, 814) = ( 16 x 814 ) / 6512

GCD(16, 814) = 13024 / 6512

GCD(16, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 32, 880, 814, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 979, 214, 432
• GCD of 87, 724, 546, 119
• GCD of 32, 587, 587, 899
• GCD of 94, 355, 579, 231
• GCD of 48, 114, 487, 380

1. What is the GCD of 32, 880, 814, 829?

GCD of 32, 880, 814, 829 is 1

2. Where do I get the detailed procedure to find GCD of 32, 880, 814, 829?

You can find a detailed procedure to find GCD of 32, 880, 814, 829 on our page.

3. How to find GCD of 32, 880, 814, 829 on a calculator?

You can find the GCD of 32, 880, 814, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.