Greatest Common Factor of 5925/33, 4116/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5925/33, 4116/114

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 5925/33,4116/114

Given fractions are 5925/33,4116/114

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 5925,4116

Greatest Common Factor of Numerators i.e. GCF of 5925,4116 is 3 .

LCM of Denominators means LCM of 33,114 as per the given fractions.

LCM of 33,114 is 1254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5925,4116

GCF of Fractions 5925/33,4116/114 is 3/1254

3 5925, 4116
1975, 1372

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5925,4116 By Matching Biggest Common Factor Method

Greatest Common Factor of 5925,4116 By Matching Biggest Common Factor Method

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Greatest Common Factor

We found the factors 5925,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 5925,4116 is 3.

Lets's calculate LCM of 33,114

3 33, 114
11, 38

∴ So the LCM of the given numbers is 3 x 11 x 38 = 1254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1254

Therefore, the GCF of Fractions 5925/33,4116/114 is 3/1254

Least Common Multiple of 33,114 with GCF Formula

Least Common Multiple of 33,114 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 33,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,114) = 3

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

GCF(33,114) x common factors =3 x 1 = 3

LCM(33,114) = ( 33 × 114 ) / 3

LCM(33,114) = 3762 / 3

LCM(33,114) = 1254


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 5925/33, 4116/114

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 5925/33, 4116/114?

Answer: GCF of Numerators as per given numbers 5925/33, 4116/114 is

GCF of Numerators i.e. for 5925,4116 is 3

LCM of denominators i.e. for 33,114 is 1254.

Thus, GCF of Fractions is 3/1254.Finally, GCF of Fractions for 5925/33, 4116/114 is 3/1254.