Greatest Common Factor of 388/493, 4814/3549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/493, 4814/3549

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 388/493,4814/3549

Given fractions are 388/493,4814/3549

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 388,4814

Greatest Common Factor of Numerators i.e. GCF of 388,4814 is 2 .

LCM of Denominators means LCM of 493,3549 as per the given fractions.

LCM of 493,3549 is 1749657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,4814

GCF of Fractions 388/493,4814/3549 is 2/1749657

2 388, 4814
194, 2407

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 388,4814 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,4814 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1,2,29,58,83,166,2407,4814

Greatest Common Factor

We found the factors 388,4814 . The biggest common factor number is the GCF number.
So the greatest common factor 388,4814 is 2.

Lets's calculate LCM of 493,3549

Given numbers has no common factors except 1. So, there LCM is their product i.e 1749657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1749657

Therefore, the GCF of Fractions 388/493,4814/3549 is 2/1749657

Least Common Multiple of 493,3549 with GCF Formula

Least Common Multiple of 493,3549 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 493,3549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,3549) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(493,3549) x common factors =1 x 1 = 1

LCM(493,3549) = ( 493 × 3549 ) / 1

LCM(493,3549) = 1749657 / 1

LCM(493,3549) = 1749657


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 388/493, 4814/3549

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 388/493, 4814/3549?

Answer: GCF of Numerators as per given numbers 388/493, 4814/3549 is

GCF of Numerators i.e. for 388,4814 is 2

LCM of denominators i.e. for 493,3549 is 1749657.

Thus, GCF of Fractions is 2/1749657.Finally, GCF of Fractions for 388/493, 4814/3549 is 2/1749657.