Greatest Common Factor of 4814/820, 1363/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4814/820, 1363/828

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 4814/820,1363/828

Given fractions are 4814/820,1363/828

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 4814,1363

Greatest Common Factor of Numerators i.e. GCF of 4814,1363 is 29 .

LCM of Denominators means LCM of 820,828 as per the given fractions.

LCM of 820,828 is 169740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4814,1363

GCF of Fractions 4814/820,1363/828 is 29/169740

29 4814, 1363
166, 47

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4814,1363 By Matching Biggest Common Factor Method

Greatest Common Factor of 4814,1363 By Matching Biggest Common Factor Method

Factors of 4814

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

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

Factors of 1363

List of positive integer factors of 1363 that divides 1363 without a remainder.

1,29,47,1363

Greatest Common Factor

We found the factors 4814,1363 . The biggest common factor number is the GCF number.
So the greatest common factor 4814,1363 is 29.

Lets's calculate LCM of 820,828

2 820, 828
2 410, 414
205, 207

∴ So the LCM of the given numbers is 2 x 2 x 205 x 207 = 169740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/169740

Therefore, the GCF of Fractions 4814/820,1363/828 is 29/169740

Least Common Multiple of 820,828 with GCF Formula

Least Common Multiple of 820,828 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 820,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,828) = 4

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

GCF(820,828) x common factors =4 x 1 = 4

LCM(820,828) = ( 820 × 828 ) / 4

LCM(820,828) = 678960 / 4

LCM(820,828) = 169740


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 4814/820, 1363/828

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 4814/820, 1363/828?

Answer: GCF of Numerators as per given numbers 4814/820, 1363/828 is

GCF of Numerators i.e. for 4814,1363 is 29

LCM of denominators i.e. for 820,828 is 169740.

Thus, GCF of Fractions is 29/169740.Finally, GCF of Fractions for 4814/820, 1363/828 is 29/169740.