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GCD of 738, 436, 115, 909 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, 436, 115, 909 quickly. Get the easiest ways to solve the greatest common divisor of 738, 436, 115, 909 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 436, 115, 909 with Factoring?

Given Input numbers are 738, 436, 115, 909

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (738, 436, 115, 909) = 1.

Find GCD of 738, 436, 115, 909 using Prime Factorization

Given numbers are 738, 436, 115, 909

The list of prime factors of all numbers are

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

Prime factors of 436 are 2 x 2 x 109

Prime factors of 115 are 5 x 23

Prime factors of 909 are 3 x 3 x 101

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

Steps to Calculate GCD of 738, 436, 115, 909 using LCM Formula

Given numbers are 738, 436, 115, 909

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

Apply this formula for all numbers.

Step1:

LCM(738, 436) = 160884

GCD(738, 436) = ( 738 x 436 ) / 160884

= 738 / 436

= 738


Step2:

LCM(2, 115) = 230

GCD(2, 115) = ( 2 x 115 ) / 230

= 2 / 115

= 2


Step3:

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

= 1 / 909

= 1


So, Greatest Common Divisor of 738, 436, 115, 909 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 436, 115, 909

Given numbers are 738, 436, 115, 909
The greatest common divisor of numbers 738, 436, 115, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 436, 115, 909 is 1.

FAQs on GCD of 738, 436, 115, 909 Calculator

1. What is the GCD of 738, 436, 115, 909?

GCD of given numbers 738, 436, 115, 909 is 1


2. How to calculate the greatest common divisor of 738, 436, 115, 909?

We can find the highest common divisor of 738, 436, 115, 909 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, 436, 115, 909 i.e 1.


3. How can I use the GCD of 738, 436, 115, 909Calculator?

Out the numbers 738, 436, 115, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.