Greatest Common Factor of 759/352, 105/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/352, 105/896

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 759/352,105/896

Given fractions are 759/352,105/896

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 759,105

Greatest Common Factor of Numerators i.e. GCF of 759,105 is 3 .

LCM of Denominators means LCM of 352,896 as per the given fractions.

LCM of 352,896 is 9856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,105

GCF of Fractions 759/352,105/896 is 3/9856

3 759, 105
253, 35

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 759,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,105 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 759,105 . The biggest common factor number is the GCF number.
So the greatest common factor 759,105 is 3.

Lets's calculate LCM of 352,896

2 352, 896
2 176, 448
2 88, 224
2 44, 112
2 22, 56
11, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 28 = 9856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9856

Therefore, the GCF of Fractions 759/352,105/896 is 3/9856

Least Common Multiple of 352,896 with GCF Formula

Least Common Multiple of 352,896 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 352,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,896) = 32

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

GCF(352,896) x common factors =32 x 1 = 32

LCM(352,896) = ( 352 × 896 ) / 32

LCM(352,896) = 315392 / 32

LCM(352,896) = 9856


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 759/352, 105/896

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 759/352, 105/896?

Answer: GCF of Numerators as per given numbers 759/352, 105/896 is

GCF of Numerators i.e. for 759,105 is 3

LCM of denominators i.e. for 352,896 is 9856.

Thus, GCF of Fractions is 3/9856.Finally, GCF of Fractions for 759/352, 105/896 is 3/9856.