Greatest Common Factor of 3816/391, 4228/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3816/391, 4228/821

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 3816/391,4228/821

Given fractions are 3816/391,4228/821

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 3816,4228

Greatest Common Factor of Numerators i.e. GCF of 3816,4228 is 4 .

LCM of Denominators means LCM of 391,821 as per the given fractions.

LCM of 391,821 is 321011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3816,4228

GCF of Fractions 3816/391,4228/821 is 4/321011

2 3816, 4228
2 1908, 2114
954, 1057

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3816,4228 By Matching Biggest Common Factor Method

Greatest Common Factor of 3816,4228 By Matching Biggest Common Factor Method

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Greatest Common Factor

We found the factors 3816,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 3816,4228 is 4.

Lets's calculate LCM of 391,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 321011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/321011

Therefore, the GCF of Fractions 3816/391,4228/821 is 4/321011

Least Common Multiple of 391,821 with GCF Formula

Least Common Multiple of 391,821 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 391,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,821) = 1

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

GCF(391,821) x common factors =1 x 1 = 1

LCM(391,821) = ( 391 × 821 ) / 1

LCM(391,821) = 321011 / 1

LCM(391,821) = 321011


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 3816/391, 4228/821

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 3816/391, 4228/821?

Answer: GCF of Numerators as per given numbers 3816/391, 4228/821 is

GCF of Numerators i.e. for 3816,4228 is 4

LCM of denominators i.e. for 391,821 is 321011.

Thus, GCF of Fractions is 4/321011.Finally, GCF of Fractions for 3816/391, 4228/821 is 4/321011.