Greatest Common Factor of 910/11, 245/32, 105/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/11, 245/32, 105/96

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 910/11,245/32,105/96

Given fractions are 910/11,245/32,105/96

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 910,245,105

Greatest Common Factor of Numerators i.e. GCF of 910,245,105 is 35 .

LCM of Denominators means LCM of 11,32,96 as per the given fractions.

LCM of 11,32,96 is 1056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,245,105

GCF of Fractions 910/11,245/32,105/96 is 35/1056

5 910, 245, 105
7 182, 49, 21
26, 7, 3

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 910,245,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,245,105 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

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 910,245,105 . The biggest common factor number is the GCF number.
So the greatest common factor 910,245,105 is 35.

Lets's calculate LCM of 11,32,96

2 11, 32, 96
2 11, 16, 48
2 11, 8, 24
2 11, 4, 12
2 11, 2, 6
11, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 1 x 3 = 1056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/1056

Therefore, the GCF of Fractions 910/11,245/32,105/96 is 35/1056

Least Common Multiple of 11,32,96 with GCF Formula

Least Common Multiple of 11,32,96 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 11,32,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,32,96) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(11,32,96) x common factors =1 x 32 = 32

LCM(11,32,96) = ( 11 × 32 × 96 ) / 32

LCM(11,32,96) = 33792 / 32

LCM(11,32,96) = 1056


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 910/11, 245/32, 105/96

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 910/11, 245/32, 105/96?

Answer: GCF of Numerators as per given numbers 910/11, 245/32, 105/96 is

GCF of Numerators i.e. for 910,245,105 is 35

LCM of denominators i.e. for 11,32,96 is 1056.

Thus, GCF of Fractions is 35/1056.Finally, GCF of Fractions for 910/11, 245/32, 105/96 is 35/1056.