Greatest Common Factor of 414/45, 184/1313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/45, 184/1313

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 414/45,184/1313

Given fractions are 414/45,184/1313

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 414,184

Greatest Common Factor of Numerators i.e. GCF of 414,184 is 46 .

LCM of Denominators means LCM of 45,1313 as per the given fractions.

LCM of 45,1313 is 59085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,184

GCF of Fractions 414/45,184/1313 is 46/59085

2 414, 184
23 207, 92
9, 4

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 414,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,184 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 414,184 . The biggest common factor number is the GCF number.
So the greatest common factor 414,184 is 46.

Lets's calculate LCM of 45,1313

Given numbers has no common factors except 1. So, there LCM is their product i.e 59085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/59085

Therefore, the GCF of Fractions 414/45,184/1313 is 46/59085

Least Common Multiple of 45,1313 with GCF Formula

Least Common Multiple of 45,1313 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 45,1313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1313) = 1

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

GCF(45,1313) x common factors =1 x 1 = 1

LCM(45,1313) = ( 45 × 1313 ) / 1

LCM(45,1313) = 59085 / 1

LCM(45,1313) = 59085


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 414/45, 184/1313

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 414/45, 184/1313?

Answer: GCF of Numerators as per given numbers 414/45, 184/1313 is

GCF of Numerators i.e. for 414,184 is 46

LCM of denominators i.e. for 45,1313 is 59085.

Thus, GCF of Fractions is 46/59085.Finally, GCF of Fractions for 414/45, 184/1313 is 46/59085.