Greatest Common Factor of 69/96, 10/19, 175/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/96, 10/19, 175/39

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 69/96,10/19,175/39

Given fractions are 69/96,10/19,175/39

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 69,10,175

Greatest Common Factor of Numerators i.e. GCF of 69,10,175 is 1 .

LCM of Denominators means LCM of 96,19,39 as per the given fractions.

LCM of 96,19,39 is 23712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,10,175

GCF of Fractions 69/96,10/19,175/39 is 1/23712

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

Greatest Common Factor of 69,10,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,10,175 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

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 69,10,175 . The biggest common factor number is the GCF number.
So the greatest common factor 69,10,175 is 1.

Lets's calculate LCM of 96,19,39

3 96, 19, 39
32, 19, 13

∴ So the LCM of the given numbers is 3 x 32 x 19 x 13 = 23712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23712

Therefore, the GCF of Fractions 69/96,10/19,175/39 is 1/23712

Least Common Multiple of 96,19,39 with GCF Formula

Least Common Multiple of 96,19,39 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 96,19,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,19,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,19,39) x common factors =1 x 3 = 3

LCM(96,19,39) = ( 96 × 19 × 39 ) / 3

LCM(96,19,39) = 71136 / 3

LCM(96,19,39) = 23712


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 69/96, 10/19, 175/39

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 69/96, 10/19, 175/39?

Answer: GCF of Numerators as per given numbers 69/96, 10/19, 175/39 is

GCF of Numerators i.e. for 69,10,175 is 1

LCM of denominators i.e. for 96,19,39 is 23712.

Thus, GCF of Fractions is 1/23712.Finally, GCF of Fractions for 69/96, 10/19, 175/39 is 1/23712.