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 738, 364, 443, 624 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 364, 443, 624 quickly. Get the easiest ways to solve the greatest common divisor of 738, 364, 443, 624 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 364, 443, 624 with Factoring?

Given Input numbers are 738, 364, 443, 624

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (738, 364, 443, 624) = 1.

Find GCD of 738, 364, 443, 624 using Prime Factorization

Given numbers are 738, 364, 443, 624

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 443 are 443

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 738, 364, 443, 624 using LCM Formula

Given numbers are 738, 364, 443, 624

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

Apply this formula for all numbers.

Step1:

LCM(738, 364) = 134316

GCD(738, 364) = ( 738 x 364 ) / 134316

= 738 / 364

= 738


Step2:

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

= 2 / 443

= 2


Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1


So, Greatest Common Divisor of 738, 364, 443, 624 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 364, 443, 624

Given numbers are 738, 364, 443, 624
The greatest common divisor of numbers 738, 364, 443, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 364, 443, 624 is 1.

FAQs on GCD of 738, 364, 443, 624 Calculator

1. What is the GCD of 738, 364, 443, 624?

GCD of given numbers 738, 364, 443, 624 is 1


2. How to calculate the greatest common divisor of 738, 364, 443, 624?

We can find the highest common divisor of 738, 364, 443, 624 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 738, 364, 443, 624 i.e 1.


3. How can I use the GCD of 738, 364, 443, 624Calculator?

Out the numbers 738, 364, 443, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.