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GCD of 738, 106, 218, 797 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, 106, 218, 797 quickly. Get the easiest ways to solve the greatest common divisor of 738, 106, 218, 797 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 106, 218, 797 with Factoring?

Given Input numbers are 738, 106, 218, 797

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797


GCD of numbers is the greatest common divisor

So, the GCD (738, 106, 218, 797) = 1.

Find GCD of 738, 106, 218, 797 using Prime Factorization

Given numbers are 738, 106, 218, 797

The list of prime factors of all numbers are

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

Prime factors of 106 are 2 x 53

Prime factors of 218 are 2 x 109

Prime factors of 797 are 797

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

Steps to Calculate GCD of 738, 106, 218, 797 using LCM Formula

Given numbers are 738, 106, 218, 797

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

Apply this formula for all numbers.

Step1:

LCM(738, 106) = 39114

GCD(738, 106) = ( 738 x 106 ) / 39114

= 738 / 106

= 738


Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2


Step3:

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

= 2 / 797

= 2


So, Greatest Common Divisor of 738, 106, 218, 797 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 106, 218, 797

Given numbers are 738, 106, 218, 797
The greatest common divisor of numbers 738, 106, 218, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 106, 218, 797 is 1.

FAQs on GCD of 738, 106, 218, 797 Calculator

1. What is the GCD of 738, 106, 218, 797?

GCD of given numbers 738, 106, 218, 797 is 1


2. How to calculate the greatest common divisor of 738, 106, 218, 797?

We can find the highest common divisor of 738, 106, 218, 797 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, 106, 218, 797 i.e 1.


3. How can I use the GCD of 738, 106, 218, 797Calculator?

Out the numbers 738, 106, 218, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.