GCD of 198, 525, 343, 832 Calculator

Given Input numbers are 198, 525, 343, 832

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 198, 525, 343, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 525, 343, 832 is 1.

Therefore, GCD of numbers 198, 525, 343, 832 is 1

Given Input Data is 198, 525, 343, 832

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(198, 525) = 34650

GCD(198, 525) = ( 198 x 525 ) / 34650

GCD(198, 525) = 103950 / 34650

GCD(198, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 198, 525, 343, 832 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 983, 950, 995
• GCD of 260, 554, 257, 781
• GCD of 144, 359, 429, 832
• GCD of 906, 968, 433, 130
• GCD of 880, 500, 672, 826

1. What is the GCD of 198, 525, 343, 832?

GCD of 198, 525, 343, 832 is 1

2. Where do I get the detailed procedure to find GCD of 198, 525, 343, 832?

You can find a detailed procedure to find GCD of 198, 525, 343, 832 on our page.

3. How to find GCD of 198, 525, 343, 832 on a calculator?

You can find the GCD of 198, 525, 343, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.