GCD of 414, 742, 607 Calculator

Given Input numbers are 414, 742, 607

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 414, 742, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 742, 607 is 1.

Therefore, GCD of numbers 414, 742, 607 is 1

Given Input Data is 414, 742, 607

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 607 is 607

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(414, 742) = 153594

GCD(414, 742) = ( 414 x 742 ) / 153594

GCD(414, 742) = 307188 / 153594

GCD(414, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 1

GCD of 414, 742, 607 is 1

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1. What is the GCD of 414, 742, 607?

GCD of 414, 742, 607 is 1

2. Where do I get the detailed procedure to find GCD of 414, 742, 607?

You can find a detailed procedure to find GCD of 414, 742, 607 on our page.

3. How to find GCD of 414, 742, 607 on a calculator?

You can find the GCD of 414, 742, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.