GCD of 719, 750, 42, 654 Calculator

Given Input numbers are 719, 750, 42, 654

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

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 719, 750, 42, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 719, 750, 42, 654 is 1.

Therefore, GCD of numbers 719, 750, 42, 654 is 1

Given Input Data is 719, 750, 42, 654

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

Prime Factorization of 719 is 719

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 654 is 2 x 3 x 109

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(719, 750) = 539250

GCD(719, 750) = ( 719 x 750 ) / 539250

GCD(719, 750) = 539250 / 539250

GCD(719, 750) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 719, 750, 42, 654 is 1

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1. What is the GCD of 719, 750, 42, 654?

GCD of 719, 750, 42, 654 is 1

2. Where do I get the detailed procedure to find GCD of 719, 750, 42, 654?

You can find a detailed procedure to find GCD of 719, 750, 42, 654 on our page.

3. How to find GCD of 719, 750, 42, 654 on a calculator?

You can find the GCD of 719, 750, 42, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.