Greatest Common Factor of 10/14, 394/69, 182/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/14, 394/69, 182/64

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 10/14,394/69,182/64

Given fractions are 10/14,394/69,182/64

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 10,394,182

Greatest Common Factor of Numerators i.e. GCF of 10,394,182 is 2 .

LCM of Denominators means LCM of 14,69,64 as per the given fractions.

LCM of 14,69,64 is 30912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,394,182

GCF of Fractions 10/14,394/69,182/64 is 2/30912

2 10, 394, 182
5, 197, 91

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,394,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,394,182 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 10,394,182 . The biggest common factor number is the GCF number.
So the greatest common factor 10,394,182 is 2.

Lets's calculate LCM of 14,69,64

2 14, 69, 64
7, 69, 32

∴ So the LCM of the given numbers is 2 x 7 x 69 x 32 = 30912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30912

Therefore, the GCF of Fractions 10/14,394/69,182/64 is 2/30912

Least Common Multiple of 14,69,64 with GCF Formula

Least Common Multiple of 14,69,64 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 14,69,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,69,64) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,69,64) x common factors =1 x 2 = 2

LCM(14,69,64) = ( 14 × 69 × 64 ) / 2

LCM(14,69,64) = 61824 / 2

LCM(14,69,64) = 30912


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 10/14, 394/69, 182/64

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 10/14, 394/69, 182/64?

Answer: GCF of Numerators as per given numbers 10/14, 394/69, 182/64 is

GCF of Numerators i.e. for 10,394,182 is 2

LCM of denominators i.e. for 14,69,64 is 30912.

Thus, GCF of Fractions is 2/30912.Finally, GCF of Fractions for 10/14, 394/69, 182/64 is 2/30912.