Greatest Common Factor of 14/97, 78/97, 26/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/97, 78/97, 26/326

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 14/97,78/97,26/326

Given fractions are 14/97,78/97,26/326

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 14,78,26

Greatest Common Factor of Numerators i.e. GCF of 14,78,26 is 2 .

LCM of Denominators means LCM of 97,97,326 as per the given fractions.

LCM of 97,97,326 is 31622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,78,26

GCF of Fractions 14/97,78/97,26/326 is 2/31622

2 14, 78, 26
7, 39, 13

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

Greatest Common Factor of 14,78,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,78,26 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 14,78,26 . The biggest common factor number is the GCF number.
So the greatest common factor 14,78,26 is 2.

Lets's calculate LCM of 97,97,326

97 97, 97, 326
1, 1, 326

∴ So the LCM of the given numbers is 97 x 1 x 1 x 326 = 31622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31622

Therefore, the GCF of Fractions 14/97,78/97,26/326 is 2/31622

Least Common Multiple of 97,97,326 with GCF Formula

Least Common Multiple of 97,97,326 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 97,97,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,97,326) = 1

common factors(in case of two or more numbers have common factors) = 97

GCF(97,97,326) x common factors =1 x 97 = 97

LCM(97,97,326) = ( 97 × 97 × 326 ) / 97

LCM(97,97,326) = 3067334 / 97

LCM(97,97,326) = 31622


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 14/97, 78/97, 26/326

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 14/97, 78/97, 26/326?

Answer: GCF of Numerators as per given numbers 14/97, 78/97, 26/326 is

GCF of Numerators i.e. for 14,78,26 is 2

LCM of denominators i.e. for 97,97,326 is 31622.

Thus, GCF of Fractions is 2/31622.Finally, GCF of Fractions for 14/97, 78/97, 26/326 is 2/31622.