GCD of 355, 172, 61, 294 Calculator

Given Input numbers are 355, 172, 61, 294

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 355, 172, 61, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 172, 61, 294 is 1.

Therefore, GCD of numbers 355, 172, 61, 294 is 1

Given Input Data is 355, 172, 61, 294

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 61 is 61

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(355, 172) = 61060

GCD(355, 172) = ( 355 x 172 ) / 61060

GCD(355, 172) = 61060 / 61060

GCD(355, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 355, 172, 61, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 246, 73, 924
• GCD of 798, 364, 95, 339
• GCD of 389, 371, 64, 429
• GCD of 345, 576, 39, 783
• GCD of 191, 849, 86, 796

1. What is the GCD of 355, 172, 61, 294?

GCD of 355, 172, 61, 294 is 1

2. Where do I get the detailed procedure to find GCD of 355, 172, 61, 294?

You can find a detailed procedure to find GCD of 355, 172, 61, 294 on our page.

3. How to find GCD of 355, 172, 61, 294 on a calculator?

You can find the GCD of 355, 172, 61, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.