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 749, 444, 489, 355 Calculator

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


Online GCD Calculator is useful to find the GCD of 749, 444, 489, 355 quickly. Get the easiest ways to solve the greatest common divisor of 749, 444, 489, 355 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 749, 444, 489, 355 with Factoring?

Given Input numbers are 749, 444, 489, 355

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355


GCD of numbers is the greatest common divisor

So, the GCD (749, 444, 489, 355) = 1.

Find GCD of 749, 444, 489, 355 using Prime Factorization

Given numbers are 749, 444, 489, 355

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 489 are 3 x 163

Prime factors of 355 are 5 x 71

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

Steps to Calculate GCD of 749, 444, 489, 355 using LCM Formula

Given numbers are 749, 444, 489, 355

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

Apply this formula for all numbers.

Step1:

LCM(749, 444) = 332556

GCD(749, 444) = ( 749 x 444 ) / 332556

= 749 / 444

= 749


Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1


Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


So, Greatest Common Divisor of 749, 444, 489, 355 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 749, 444, 489, 355

Given numbers are 749, 444, 489, 355
The greatest common divisor of numbers 749, 444, 489, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 444, 489, 355 is 1.

FAQs on GCD of 749, 444, 489, 355 Calculator

1. What is the GCD of 749, 444, 489, 355?

GCD of given numbers 749, 444, 489, 355 is 1


2. How to calculate the greatest common divisor of 749, 444, 489, 355?

We can find the highest common divisor of 749, 444, 489, 355 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 749, 444, 489, 355 i.e 1.


3. How can I use the GCD of 749, 444, 489, 355Calculator?

Out the numbers 749, 444, 489, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.