GCD of 795, 919, 868, 738 Calculator

Given Input numbers are 795, 919, 868, 738

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

Divisors of 795

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

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 795, 919, 868, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 919, 868, 738 is 1.

Therefore, GCD of numbers 795, 919, 868, 738 is 1

Given Input Data is 795, 919, 868, 738

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 919 is 919

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(795, 919) = 730605

GCD(795, 919) = ( 795 x 919 ) / 730605

GCD(795, 919) = 730605 / 730605

GCD(795, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 795, 919, 868, 738 is 1

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1. What is the GCD of 795, 919, 868, 738?

GCD of 795, 919, 868, 738 is 1

2. Where do I get the detailed procedure to find GCD of 795, 919, 868, 738?

You can find a detailed procedure to find GCD of 795, 919, 868, 738 on our page.

3. How to find GCD of 795, 919, 868, 738 on a calculator?

You can find the GCD of 795, 919, 868, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.