GCD of 914, 235, 365, 354 Calculator

Given Input numbers are 914, 235, 365, 354

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 354

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

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

Greatest Common Divisior

We found the divisors of 914, 235, 365, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 235, 365, 354 is 1.

Therefore, GCD of numbers 914, 235, 365, 354 is 1

Given Input Data is 914, 235, 365, 354

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 235 is 5 x 47

Prime Factorization of 365 is 5 x 73

Prime Factorization of 354 is 2 x 3 x 59

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(914, 235) = 214790

GCD(914, 235) = ( 914 x 235 ) / 214790

GCD(914, 235) = 214790 / 214790

GCD(914, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 914, 235, 365, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 587, 970, 825
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• GCD of 129, 501, 998, 680

1. What is the GCD of 914, 235, 365, 354?

GCD of 914, 235, 365, 354 is 1

2. Where do I get the detailed procedure to find GCD of 914, 235, 365, 354?

You can find a detailed procedure to find GCD of 914, 235, 365, 354 on our page.

3. How to find GCD of 914, 235, 365, 354 on a calculator?

You can find the GCD of 914, 235, 365, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.