Greatest Common Factor of 1175/15, 2929/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1175/15, 2929/774

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 1175/15,2929/774

Given fractions are 1175/15,2929/774

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 1175,2929

Greatest Common Factor of Numerators i.e. GCF of 1175,2929 is 1 .

LCM of Denominators means LCM of 15,774 as per the given fractions.

LCM of 15,774 is 3870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1175,2929

GCF of Fractions 1175/15,2929/774 is 1/3870

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

Greatest Common Factor of 1175,2929 By Matching Biggest Common Factor Method

Greatest Common Factor of 1175,2929 By Matching Biggest Common Factor Method

Factors of 1175

List of positive integer factors of 1175 that divides 1175 without a remainder.

1,5,25,47,235,1175

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1,29,101,2929

Greatest Common Factor

We found the factors 1175,2929 . The biggest common factor number is the GCF number.
So the greatest common factor 1175,2929 is 1.

Lets's calculate LCM of 15,774

3 15, 774
5, 258

∴ So the LCM of the given numbers is 3 x 5 x 258 = 3870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3870

Therefore, the GCF of Fractions 1175/15,2929/774 is 1/3870

Least Common Multiple of 15,774 with GCF Formula

Least Common Multiple of 15,774 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 15,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,774) = 3

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

GCF(15,774) x common factors =3 x 1 = 3

LCM(15,774) = ( 15 × 774 ) / 3

LCM(15,774) = 11610 / 3

LCM(15,774) = 3870


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 1175/15, 2929/774

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 1175/15, 2929/774?

Answer: GCF of Numerators as per given numbers 1175/15, 2929/774 is

GCF of Numerators i.e. for 1175,2929 is 1

LCM of denominators i.e. for 15,774 is 3870.

Thus, GCF of Fractions is 1/3870.Finally, GCF of Fractions for 1175/15, 2929/774 is 1/3870.