Greatest Common Factor of 3816/28, 4772/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3816/28, 4772/311

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 3816/28,4772/311

Given fractions are 3816/28,4772/311

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 3816,4772

Greatest Common Factor of Numerators i.e. GCF of 3816,4772 is 4 .

LCM of Denominators means LCM of 28,311 as per the given fractions.

LCM of 28,311 is 8708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3816,4772

GCF of Fractions 3816/28,4772/311 is 4/8708

2 3816, 4772
2 1908, 2386
954, 1193

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

Greatest Common Factor of 3816,4772 By Matching Biggest Common Factor Method

Greatest Common Factor of 3816,4772 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 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1,2,4,1193,2386,4772

Greatest Common Factor

We found the factors 3816,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 3816,4772 is 4.

Lets's calculate LCM of 28,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 8708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8708

Therefore, the GCF of Fractions 3816/28,4772/311 is 4/8708

Least Common Multiple of 28,311 with GCF Formula

Least Common Multiple of 28,311 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 28,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,311) = 1

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

GCF(28,311) x common factors =1 x 1 = 1

LCM(28,311) = ( 28 × 311 ) / 1

LCM(28,311) = 8708 / 1

LCM(28,311) = 8708


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 3816/28, 4772/311

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 3816/28, 4772/311?

Answer: GCF of Numerators as per given numbers 3816/28, 4772/311 is

GCF of Numerators i.e. for 3816,4772 is 4

LCM of denominators i.e. for 28,311 is 8708.

Thus, GCF of Fractions is 4/8708.Finally, GCF of Fractions for 3816/28, 4772/311 is 4/8708.