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GCD of 738, 151, 369, 648 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, 151, 369, 648 quickly. Get the easiest ways to solve the greatest common divisor of 738, 151, 369, 648 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 151, 369, 648 with Factoring?

Given Input numbers are 738, 151, 369, 648

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 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648


GCD of numbers is the greatest common divisor

So, the GCD (738, 151, 369, 648) = 1.

Find GCD of 738, 151, 369, 648 using Prime Factorization

Given numbers are 738, 151, 369, 648

The list of prime factors of all numbers are

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

Prime factors of 151 are 151

Prime factors of 369 are 3 x 3 x 41

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 738, 151, 369, 648 using LCM Formula

Given numbers are 738, 151, 369, 648

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

Apply this formula for all numbers.

Step1:

LCM(738, 151) = 111438

GCD(738, 151) = ( 738 x 151 ) / 111438

= 738 / 151

= 738


Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1


So, Greatest Common Divisor of 738, 151, 369, 648 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 151, 369, 648

Given numbers are 738, 151, 369, 648
The greatest common divisor of numbers 738, 151, 369, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 151, 369, 648 is 1.

FAQs on GCD of 738, 151, 369, 648 Calculator

1. What is the GCD of 738, 151, 369, 648?

GCD of given numbers 738, 151, 369, 648 is 1


2. How to calculate the greatest common divisor of 738, 151, 369, 648?

We can find the highest common divisor of 738, 151, 369, 648 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, 151, 369, 648 i.e 1.


3. How can I use the GCD of 738, 151, 369, 648Calculator?

Out the numbers 738, 151, 369, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.