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GCD of 738, 664, 677, 608 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, 664, 677, 608 quickly. Get the easiest ways to solve the greatest common divisor of 738, 664, 677, 608 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 664, 677, 608 with Factoring?

Given Input numbers are 738, 664, 677, 608

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608


GCD of numbers is the greatest common divisor

So, the GCD (738, 664, 677, 608) = 1.

Find GCD of 738, 664, 677, 608 using Prime Factorization

Given numbers are 738, 664, 677, 608

The list of prime factors of all numbers are

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 677 are 677

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 738, 664, 677, 608 using LCM Formula

Given numbers are 738, 664, 677, 608

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

Apply this formula for all numbers.

Step1:

LCM(738, 664) = 245016

GCD(738, 664) = ( 738 x 664 ) / 245016

= 738 / 664

= 738


Step2:

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

= 2 / 677

= 2


Step3:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1


So, Greatest Common Divisor of 738, 664, 677, 608 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 664, 677, 608

Given numbers are 738, 664, 677, 608
The greatest common divisor of numbers 738, 664, 677, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 664, 677, 608 is 1.

FAQs on GCD of 738, 664, 677, 608 Calculator

1. What is the GCD of 738, 664, 677, 608?

GCD of given numbers 738, 664, 677, 608 is 1


2. How to calculate the greatest common divisor of 738, 664, 677, 608?

We can find the highest common divisor of 738, 664, 677, 608 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, 664, 677, 608 i.e 1.


3. How can I use the GCD of 738, 664, 677, 608Calculator?

Out the numbers 738, 664, 677, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.