Greatest Common Factor of 115/78, 458/65, 583/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/78, 458/65, 583/746

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 115/78,458/65,583/746

Given fractions are 115/78,458/65,583/746

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 115,458,583

Greatest Common Factor of Numerators i.e. GCF of 115,458,583 is 1 .

LCM of Denominators means LCM of 78,65,746 as per the given fractions.

LCM of 78,65,746 is 145470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,458,583

GCF of Fractions 115/78,458/65,583/746 is 1/145470

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

Greatest Common Factor of 115,458,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,458,583 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 115,458,583 . The biggest common factor number is the GCF number.
So the greatest common factor 115,458,583 is 1.

Lets's calculate LCM of 78,65,746

2 78, 65, 746
13 39, 65, 373
3, 5, 373

∴ So the LCM of the given numbers is 2 x 13 x 3 x 5 x 373 = 145470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145470

Therefore, the GCF of Fractions 115/78,458/65,583/746 is 1/145470

Least Common Multiple of 78,65,746 with GCF Formula

Least Common Multiple of 78,65,746 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 78,65,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,65,746) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(78,65,746) x common factors =1 x 26 = 26

LCM(78,65,746) = ( 78 × 65 × 746 ) / 26

LCM(78,65,746) = 3782220 / 26

LCM(78,65,746) = 145470


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 115/78, 458/65, 583/746

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 115/78, 458/65, 583/746?

Answer: GCF of Numerators as per given numbers 115/78, 458/65, 583/746 is

GCF of Numerators i.e. for 115,458,583 is 1

LCM of denominators i.e. for 78,65,746 is 145470.

Thus, GCF of Fractions is 1/145470.Finally, GCF of Fractions for 115/78, 458/65, 583/746 is 1/145470.