GCD of 914, 189, 507, 795 Calculator

Given Input numbers are 914, 189, 507, 795

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 914, 189, 507, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 189, 507, 795 is 1.

Therefore, GCD of numbers 914, 189, 507, 795 is 1

Given Input Data is 914, 189, 507, 795

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 795 is 3 x 5 x 53

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, 189) = 172746

GCD(914, 189) = ( 914 x 189 ) / 172746

GCD(914, 189) = 172746 / 172746

GCD(914, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 914, 189, 507, 795 is 1

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1. What is the GCD of 914, 189, 507, 795?

GCD of 914, 189, 507, 795 is 1

2. Where do I get the detailed procedure to find GCD of 914, 189, 507, 795?

You can find a detailed procedure to find GCD of 914, 189, 507, 795 on our page.

3. How to find GCD of 914, 189, 507, 795 on a calculator?

You can find the GCD of 914, 189, 507, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.