Greatest Common Factor of 726/910, 847/560, 935/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/910, 847/560, 935/754

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 726/910,847/560,935/754

Given fractions are 726/910,847/560,935/754

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 726,847,935

Greatest Common Factor of Numerators i.e. GCF of 726,847,935 is 11 .

LCM of Denominators means LCM of 910,560,754 as per the given fractions.

LCM of 910,560,754 is 211120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,847,935

GCF of Fractions 726/910,847/560,935/754 is 11/211120

11 726, 847, 935
66, 77, 85

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 726,847,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,847,935 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 726,847,935 . The biggest common factor number is the GCF number.
So the greatest common factor 726,847,935 is 11.

Lets's calculate LCM of 910,560,754

2 910, 560, 754
5 455, 280, 377
7 91, 56, 377
13 13, 8, 377
1, 8, 29

∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 1 x 8 x 29 = 211120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/211120

Therefore, the GCF of Fractions 726/910,847/560,935/754 is 11/211120

Least Common Multiple of 910,560,754 with GCF Formula

Least Common Multiple of 910,560,754 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 910,560,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,560,754) = 2

common factors(in case of two or more numbers have common factors) = 910

GCF(910,560,754) x common factors =2 x 910 = 1820

LCM(910,560,754) = ( 910 × 560 × 754 ) / 1820

LCM(910,560,754) = 384238400 / 1820

LCM(910,560,754) = 211120


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 726/910, 847/560, 935/754

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 726/910, 847/560, 935/754?

Answer: GCF of Numerators as per given numbers 726/910, 847/560, 935/754 is

GCF of Numerators i.e. for 726,847,935 is 11

LCM of denominators i.e. for 910,560,754 is 211120.

Thus, GCF of Fractions is 11/211120.Finally, GCF of Fractions for 726/910, 847/560, 935/754 is 11/211120.