GCD of 738, 101, 419 Calculator

Given Input numbers are 738, 101, 419

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

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 738, 101, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 101, 419 is 1.

Therefore, GCD of numbers 738, 101, 419 is 1

Given Input Data is 738, 101, 419

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

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

Prime Factorization of 101 is 101

Prime Factorization of 419 is 419

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(738, 101) = 74538

GCD(738, 101) = ( 738 x 101 ) / 74538

GCD(738, 101) = 74538 / 74538

GCD(738, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 738, 101, 419 is 1

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1. What is the GCD of 738, 101, 419?

GCD of 738, 101, 419 is 1

2. Where do I get the detailed procedure to find GCD of 738, 101, 419?

You can find a detailed procedure to find GCD of 738, 101, 419 on our page.

3. How to find GCD of 738, 101, 419 on a calculator?

You can find the GCD of 738, 101, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.