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 723, 534, 490, 747 Calculator

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


Online GCD Calculator is useful to find the GCD of 723, 534, 490, 747 quickly. Get the easiest ways to solve the greatest common divisor of 723, 534, 490, 747 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 723, 534, 490, 747 with Factoring?

Given Input numbers are 723, 534, 490, 747

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747


GCD of numbers is the greatest common divisor

So, the GCD (723, 534, 490, 747) = 1.

Find GCD of 723, 534, 490, 747 using Prime Factorization

Given numbers are 723, 534, 490, 747

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 534 are 2 x 3 x 89

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 747 are 3 x 3 x 83

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

Steps to Calculate GCD of 723, 534, 490, 747 using LCM Formula

Given numbers are 723, 534, 490, 747

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

Apply this formula for all numbers.

Step1:

LCM(723, 534) = 128694

GCD(723, 534) = ( 723 x 534 ) / 128694

= 723 / 534

= 723


Step2:

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

= 3 / 490

= 3


Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1


So, Greatest Common Divisor of 723, 534, 490, 747 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 723, 534, 490, 747

Given numbers are 723, 534, 490, 747
The greatest common divisor of numbers 723, 534, 490, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 534, 490, 747 is 1.

FAQs on GCD of 723, 534, 490, 747 Calculator

1. What is the GCD of 723, 534, 490, 747?

GCD of given numbers 723, 534, 490, 747 is 1


2. How to calculate the greatest common divisor of 723, 534, 490, 747?

We can find the highest common divisor of 723, 534, 490, 747 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 723, 534, 490, 747 i.e 1.


3. How can I use the GCD of 723, 534, 490, 747Calculator?

Out the numbers 723, 534, 490, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.