Greatest Common Factor of 294/75, 103/76, 175/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/75, 103/76, 175/869

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 294/75,103/76,175/869

Given fractions are 294/75,103/76,175/869

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 294,103,175

Greatest Common Factor of Numerators i.e. GCF of 294,103,175 is 1 .

LCM of Denominators means LCM of 75,76,869 as per the given fractions.

LCM of 75,76,869 is 4953300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,103,175

GCF of Fractions 294/75,103/76,175/869 is 1/4953300

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

Greatest Common Factor of 294,103,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,103,175 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 294,103,175 . The biggest common factor number is the GCF number.
So the greatest common factor 294,103,175 is 1.

Lets's calculate LCM of 75,76,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 4953300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4953300

Therefore, the GCF of Fractions 294/75,103/76,175/869 is 1/4953300

Least Common Multiple of 75,76,869 with GCF Formula

Least Common Multiple of 75,76,869 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 75,76,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,76,869) = 1

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

GCF(75,76,869) x common factors =1 x 1 = 1

LCM(75,76,869) = ( 75 × 76 × 869 ) / 1

LCM(75,76,869) = 4953300 / 1

LCM(75,76,869) = 4953300


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 294/75, 103/76, 175/869

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 294/75, 103/76, 175/869?

Answer: GCF of Numerators as per given numbers 294/75, 103/76, 175/869 is

GCF of Numerators i.e. for 294,103,175 is 1

LCM of denominators i.e. for 75,76,869 is 4953300.

Thus, GCF of Fractions is 1/4953300.Finally, GCF of Fractions for 294/75, 103/76, 175/869 is 1/4953300.