Greatest Common Factor of 133/160, 5117/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/160, 5117/117

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 133/160,5117/117

Given fractions are 133/160,5117/117

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 133,5117

Greatest Common Factor of Numerators i.e. GCF of 133,5117 is 7 .

LCM of Denominators means LCM of 160,117 as per the given fractions.

LCM of 160,117 is 18720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,5117

GCF of Fractions 133/160,5117/117 is 7/18720

7 133, 5117
19, 731

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 133,5117 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,5117 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Greatest Common Factor

We found the factors 133,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 133,5117 is 7.

Lets's calculate LCM of 160,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 18720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/18720

Therefore, the GCF of Fractions 133/160,5117/117 is 7/18720

Least Common Multiple of 160,117 with GCF Formula

Least Common Multiple of 160,117 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 160,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,117) = 1

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

GCF(160,117) x common factors =1 x 1 = 1

LCM(160,117) = ( 160 × 117 ) / 1

LCM(160,117) = 18720 / 1

LCM(160,117) = 18720


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 133/160, 5117/117

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 133/160, 5117/117?

Answer: GCF of Numerators as per given numbers 133/160, 5117/117 is

GCF of Numerators i.e. for 133,5117 is 7

LCM of denominators i.e. for 160,117 is 18720.

Thus, GCF of Fractions is 7/18720.Finally, GCF of Fractions for 133/160, 5117/117 is 7/18720.