Greatest Common Factor of 417/245, 5181/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 417/245, 5181/117

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 417/245,5181/117

Given fractions are 417/245,5181/117

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 417,5181

Greatest Common Factor of Numerators i.e. GCF of 417,5181 is 3 .

LCM of Denominators means LCM of 245,117 as per the given fractions.

LCM of 245,117 is 28665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 417,5181

GCF of Fractions 417/245,5181/117 is 3/28665

3 417, 5181
139, 1727

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

Greatest Common Factor of 417,5181 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,5181 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1,3,11,33,157,471,1727,5181

Greatest Common Factor

We found the factors 417,5181 . The biggest common factor number is the GCF number.
So the greatest common factor 417,5181 is 3.

Lets's calculate LCM of 245,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 28665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28665

Therefore, the GCF of Fractions 417/245,5181/117 is 3/28665

Least Common Multiple of 245,117 with GCF Formula

Least Common Multiple of 245,117 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 245,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,117) = 1

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

GCF(245,117) x common factors =1 x 1 = 1

LCM(245,117) = ( 245 × 117 ) / 1

LCM(245,117) = 28665 / 1

LCM(245,117) = 28665


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 417/245, 5181/117

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 417/245, 5181/117?

Answer: GCF of Numerators as per given numbers 417/245, 5181/117 is

GCF of Numerators i.e. for 417,5181 is 3

LCM of denominators i.e. for 245,117 is 28665.

Thus, GCF of Fractions is 3/28665.Finally, GCF of Fractions for 417/245, 5181/117 is 3/28665.