GCD of 745, 104, 231, 350 Calculator

Given Input numbers are 745, 104, 231, 350

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 745, 104, 231, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 104, 231, 350 is 1.

Therefore, GCD of numbers 745, 104, 231, 350 is 1

Given Input Data is 745, 104, 231, 350

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 350 is 2 x 5 x 5 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(745, 104) = 77480

GCD(745, 104) = ( 745 x 104 ) / 77480

GCD(745, 104) = 77480 / 77480

GCD(745, 104) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 745, 104, 231, 350 is 1

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1. What is the GCD of 745, 104, 231, 350?

GCD of 745, 104, 231, 350 is 1

2. Where do I get the detailed procedure to find GCD of 745, 104, 231, 350?

You can find a detailed procedure to find GCD of 745, 104, 231, 350 on our page.

3. How to find GCD of 745, 104, 231, 350 on a calculator?

You can find the GCD of 745, 104, 231, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.