GCD of 829, 308, 158, 902 Calculator

Given Input numbers are 829, 308, 158, 902

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

Divisors of 829

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

1, 829

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 829, 308, 158, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 308, 158, 902 is 1.

Therefore, GCD of numbers 829, 308, 158, 902 is 1

Given Input Data is 829, 308, 158, 902

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

Prime Factorization of 829 is 829

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 158 is 2 x 79

Prime Factorization of 902 is 2 x 11 x 41

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(829, 308) = 255332

GCD(829, 308) = ( 829 x 308 ) / 255332

GCD(829, 308) = 255332 / 255332

GCD(829, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 829, 308, 158, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 616, 121, 783
• GCD of 339, 577, 798, 503
• GCD of 436, 673, 334, 294
• GCD of 545, 566, 537, 237
• GCD of 858, 290, 257, 528

1. What is the GCD of 829, 308, 158, 902?

GCD of 829, 308, 158, 902 is 1

2. Where do I get the detailed procedure to find GCD of 829, 308, 158, 902?

You can find a detailed procedure to find GCD of 829, 308, 158, 902 on our page.

3. How to find GCD of 829, 308, 158, 902 on a calculator?

You can find the GCD of 829, 308, 158, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.