LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 378, 825, 612, 623 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 825, 612, 623 quickly. Get the easiest ways to solve the greatest common divisor of 378, 825, 612, 623 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 825, 612, 623 with Factoring?

Given Input numbers are 378, 825, 612, 623

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 623 :

The positive integer divisors of 623 that completely divides 623 are.

1, 7, 89, 623


GCD of numbers is the greatest common divisor

So, the GCD (378, 825, 612, 623) = 1.

Find GCD of 378, 825, 612, 623 using Prime Factorization

Given numbers are 378, 825, 612, 623

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 623 are 7 x 89

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

Steps to Calculate GCD of 378, 825, 612, 623 using LCM Formula

Given numbers are 378, 825, 612, 623

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

Apply this formula for all numbers.

Step1:

LCM(378, 825) = 103950

GCD(378, 825) = ( 378 x 825 ) / 103950

= 378 / 825

= 378


Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3


Step3:

LCM(3, 623) = 1869

GCD(3, 623) = ( 3 x 623 ) / 1869

= 3 / 623

= 3


So, Greatest Common Divisor of 378, 825, 612, 623 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 825, 612, 623

Given numbers are 378, 825, 612, 623
The greatest common divisor of numbers 378, 825, 612, 623 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 825, 612, 623 is 1.

FAQs on GCD of 378, 825, 612, 623 Calculator

1. What is the GCD of 378, 825, 612, 623?

GCD of given numbers 378, 825, 612, 623 is 1


2. How to calculate the greatest common divisor of 378, 825, 612, 623?

We can find the highest common divisor of 378, 825, 612, 623 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 378, 825, 612, 623 i.e 1.


3. How can I use the GCD of 378, 825, 612, 623Calculator?

Out the numbers 378, 825, 612, 623 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.