Greatest Common Factor of 6830/30, 4736/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6830/30, 4736/482

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 6830/30,4736/482

Given fractions are 6830/30,4736/482

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 6830,4736

Greatest Common Factor of Numerators i.e. GCF of 6830,4736 is 2 .

LCM of Denominators means LCM of 30,482 as per the given fractions.

LCM of 30,482 is 7230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6830,4736

GCF of Fractions 6830/30,4736/482 is 2/7230

2 6830, 4736
3415, 2368

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

Greatest Common Factor of 6830,4736 By Matching Biggest Common Factor Method

Greatest Common Factor of 6830,4736 By Matching Biggest Common Factor Method

Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1,2,5,10,683,1366,3415,6830

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Greatest Common Factor

We found the factors 6830,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 6830,4736 is 2.

Lets's calculate LCM of 30,482

2 30, 482
15, 241

∴ So the LCM of the given numbers is 2 x 15 x 241 = 7230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7230

Therefore, the GCF of Fractions 6830/30,4736/482 is 2/7230

Least Common Multiple of 30,482 with GCF Formula

Least Common Multiple of 30,482 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 30,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,482) = 2

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

GCF(30,482) x common factors =2 x 1 = 2

LCM(30,482) = ( 30 × 482 ) / 2

LCM(30,482) = 14460 / 2

LCM(30,482) = 7230


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 6830/30, 4736/482

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 6830/30, 4736/482?

Answer: GCF of Numerators as per given numbers 6830/30, 4736/482 is

GCF of Numerators i.e. for 6830,4736 is 2

LCM of denominators i.e. for 30,482 is 7230.

Thus, GCF of Fractions is 2/7230.Finally, GCF of Fractions for 6830/30, 4736/482 is 2/7230.