GCD of 35, 110, 225, 293 Calculator

Given Input numbers are 35, 110, 225, 293

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 35, 110, 225, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 110, 225, 293 is 1.

Therefore, GCD of numbers 35, 110, 225, 293 is 1

Given Input Data is 35, 110, 225, 293

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 293 is 293

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(35, 110) = 770

GCD(35, 110) = ( 35 x 110 ) / 770

GCD(35, 110) = 3850 / 770

GCD(35, 110) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 225

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

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

GCD(5, 225) = 1125 / 225

GCD(5, 225) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 293

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

LCM(5, 293) = 1465

GCD(5, 293) = ( 5 x 293 ) / 1465

GCD(5, 293) = 1465 / 1465

GCD(5, 293) = 1

GCD of 35, 110, 225, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 219, 682, 730
• GCD of 22, 360, 255, 813
• GCD of 93, 233, 772, 116
• GCD of 40, 608, 196, 781
• GCD of 20, 817, 952, 919

1. What is the GCD of 35, 110, 225, 293?

GCD of 35, 110, 225, 293 is 1

2. Where do I get the detailed procedure to find GCD of 35, 110, 225, 293?

You can find a detailed procedure to find GCD of 35, 110, 225, 293 on our page.

3. How to find GCD of 35, 110, 225, 293 on a calculator?

You can find the GCD of 35, 110, 225, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.