GCD of 354, 105, 33, 695 Calculator

Given Input numbers are 354, 105, 33, 695

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 354, 105, 33, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 105, 33, 695 is 1.

Therefore, GCD of numbers 354, 105, 33, 695 is 1

Given Input Data is 354, 105, 33, 695

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 695 is 5 x 139

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(354, 105) = 12390

GCD(354, 105) = ( 354 x 105 ) / 12390

GCD(354, 105) = 37170 / 12390

GCD(354, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 695

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

LCM(3, 695) = 2085

GCD(3, 695) = ( 3 x 695 ) / 2085

GCD(3, 695) = 2085 / 2085

GCD(3, 695) = 1

GCD of 354, 105, 33, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 694, 99, 158
• GCD of 172, 220, 85, 154
• GCD of 221, 301, 83, 288
• GCD of 115, 277, 57, 990
• GCD of 358, 652, 82, 713

1. What is the GCD of 354, 105, 33, 695?

GCD of 354, 105, 33, 695 is 1

2. Where do I get the detailed procedure to find GCD of 354, 105, 33, 695?

You can find a detailed procedure to find GCD of 354, 105, 33, 695 on our page.

3. How to find GCD of 354, 105, 33, 695 on a calculator?

You can find the GCD of 354, 105, 33, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.