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GCD of 750, 395, 345, 789 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 750, 395, 345, 789 quickly. Get the easiest ways to solve the greatest common divisor of 750, 395, 345, 789 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 750, 395, 345, 789 with Factoring?

Given Input numbers are 750, 395, 345, 789

In the factoring method, we have to find the divisors of all numbers

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789


GCD of numbers is the greatest common divisor

So, the GCD (750, 395, 345, 789) = 1.

Find GCD of 750, 395, 345, 789 using Prime Factorization

Given numbers are 750, 395, 345, 789

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 395 are 5 x 79

Prime factors of 345 are 3 x 5 x 23

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 750, 395, 345, 789 using LCM Formula

Given numbers are 750, 395, 345, 789

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(750, 395) = 59250

GCD(750, 395) = ( 750 x 395 ) / 59250

= 750 / 395

= 750


Step2:

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

= 5 / 345

= 5


Step3:

LCM(5, 789) = 3945

GCD(5, 789) = ( 5 x 789 ) / 3945

= 5 / 789

= 5


So, Greatest Common Divisor of 750, 395, 345, 789 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 750, 395, 345, 789

Given numbers are 750, 395, 345, 789
The greatest common divisor of numbers 750, 395, 345, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 395, 345, 789 is 1.

FAQs on GCD of 750, 395, 345, 789 Calculator

1. What is the GCD of 750, 395, 345, 789?

GCD of given numbers 750, 395, 345, 789 is 1


2. How to calculate the greatest common divisor of 750, 395, 345, 789?

We can find the highest common divisor of 750, 395, 345, 789 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 750, 395, 345, 789 i.e 1.


3. How can I use the GCD of 750, 395, 345, 789Calculator?

Out the numbers 750, 395, 345, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.