Greatest Common Factor of 4169/288, 5541/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4169/288, 5541/316

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 4169/288,5541/316

Given fractions are 4169/288,5541/316

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 4169,5541

Greatest Common Factor of Numerators i.e. GCF of 4169,5541 is 1 .

LCM of Denominators means LCM of 288,316 as per the given fractions.

LCM of 288,316 is 22752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4169,5541

GCF of Fractions 4169/288,5541/316 is 1/22752

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4169,5541 By Matching Biggest Common Factor Method

Greatest Common Factor of 4169,5541 By Matching Biggest Common Factor Method

Factors of 4169

List of positive integer factors of 4169 that divides 4169 without a remainder.

1,11,379,4169

Factors of 5541

List of positive integer factors of 5541 that divides 5541 without a remainder.

1,3,1847,5541

Greatest Common Factor

We found the factors 4169,5541 . The biggest common factor number is the GCF number.
So the greatest common factor 4169,5541 is 1.

Lets's calculate LCM of 288,316

2 288, 316
2 144, 158
72, 79

∴ So the LCM of the given numbers is 2 x 2 x 72 x 79 = 22752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22752

Therefore, the GCF of Fractions 4169/288,5541/316 is 1/22752

Least Common Multiple of 288,316 with GCF Formula

Least Common Multiple of 288,316 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 288,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,316) = 4

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

GCF(288,316) x common factors =4 x 1 = 4

LCM(288,316) = ( 288 × 316 ) / 4

LCM(288,316) = 91008 / 4

LCM(288,316) = 22752


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 4169/288, 5541/316

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 4169/288, 5541/316?

Answer: GCF of Numerators as per given numbers 4169/288, 5541/316 is

GCF of Numerators i.e. for 4169,5541 is 1

LCM of denominators i.e. for 288,316 is 22752.

Thus, GCF of Fractions is 1/22752.Finally, GCF of Fractions for 4169/288, 5541/316 is 1/22752.