Greatest Common Factor of 318/43, 411/98, 117/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 318/43, 411/98, 117/509

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 318/43,411/98,117/509

Given fractions are 318/43,411/98,117/509

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 318,411,117

Greatest Common Factor of Numerators i.e. GCF of 318,411,117 is 3 .

LCM of Denominators means LCM of 43,98,509 as per the given fractions.

LCM of 43,98,509 is 2144926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 318,411,117

GCF of Fractions 318/43,411/98,117/509 is 3/2144926

3 318, 411, 117
106, 137, 39

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

Greatest Common Factor of 318,411,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,411,117 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 318,411,117 . The biggest common factor number is the GCF number.
So the greatest common factor 318,411,117 is 3.

Lets's calculate LCM of 43,98,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 2144926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2144926

Therefore, the GCF of Fractions 318/43,411/98,117/509 is 3/2144926

Least Common Multiple of 43,98,509 with GCF Formula

Least Common Multiple of 43,98,509 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 43,98,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,98,509) = 1

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

GCF(43,98,509) x common factors =1 x 1 = 1

LCM(43,98,509) = ( 43 × 98 × 509 ) / 1

LCM(43,98,509) = 2144926 / 1

LCM(43,98,509) = 2144926


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 318/43, 411/98, 117/509

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 318/43, 411/98, 117/509?

Answer: GCF of Numerators as per given numbers 318/43, 411/98, 117/509 is

GCF of Numerators i.e. for 318,411,117 is 3

LCM of denominators i.e. for 43,98,509 is 2144926.

Thus, GCF of Fractions is 3/2144926.Finally, GCF of Fractions for 318/43, 411/98, 117/509 is 3/2144926.