Greatest Common Factor of 109/15, 310/88, 265/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/15, 310/88, 265/51

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 109/15,310/88,265/51

Given fractions are 109/15,310/88,265/51

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 109,310,265

Greatest Common Factor of Numerators i.e. GCF of 109,310,265 is 1 .

LCM of Denominators means LCM of 15,88,51 as per the given fractions.

LCM of 15,88,51 is 22440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,310,265

GCF of Fractions 109/15,310/88,265/51 is 1/22440

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 109,310,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,310,265 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 109,310,265 . The biggest common factor number is the GCF number.
So the greatest common factor 109,310,265 is 1.

Lets's calculate LCM of 15,88,51

3 15, 88, 51
5, 88, 17

∴ So the LCM of the given numbers is 3 x 5 x 88 x 17 = 22440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22440

Therefore, the GCF of Fractions 109/15,310/88,265/51 is 1/22440

Least Common Multiple of 15,88,51 with GCF Formula

Least Common Multiple of 15,88,51 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 15,88,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,88,51) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,88,51) x common factors =1 x 3 = 3

LCM(15,88,51) = ( 15 × 88 × 51 ) / 3

LCM(15,88,51) = 67320 / 3

LCM(15,88,51) = 22440


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 109/15, 310/88, 265/51

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 109/15, 310/88, 265/51?

Answer: GCF of Numerators as per given numbers 109/15, 310/88, 265/51 is

GCF of Numerators i.e. for 109,310,265 is 1

LCM of denominators i.e. for 15,88,51 is 22440.

Thus, GCF of Fractions is 1/22440.Finally, GCF of Fractions for 109/15, 310/88, 265/51 is 1/22440.