How to Find GCF of 96/29, 78/12, 191/757?

GCF of 96/29, 78/12, 191/757

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 96/29, 78/12, 191/757 i.e 1/263436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/29, 78/12, 191/757.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 96/29,78/12,191/757?

Given fractions are 96/29,78/12,191/757

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 96/29,78/12,191/757, numerators are 96,78,191

Denominators are 29,12,757

The GCF of 96,78,191 is 1 .

LCM of 29,12,757 is 263436.

The greatest common factor of 96/29,78/12,191/757 = [GCF of 96,78,191]/[LCM of 29,12,757]= 1/263436

Therefore, the GCF of 96/29,78/12,191/757 is 1/263436.

Greatest Common Factor of 96,78,191

To find the highest common factor of 96,78,191, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

The factors of 191 are 1, 191

The HCF of 96,78,191 is 1.

Lets's calculate GCF of 96,78,191

Greatest Common Factor (GCF) of 96,78,191 By Common Division

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

Greatest Common Factor of 96,78,191 By Matching Biggest Common Factor Method

Now, list down the factors of 96

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

Now, list down the factors of 78

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

Now, list down the factors of 191

1,191

Greatest Common Factor

We found the factors 96,78,191 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,191 is 1.

Lets's calculate LCM of 29,12,757

Lowest Common Multiple of 29,12,757 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263436

Therefore, the GCF of Fractions 96/29,78/12,191/757 is 1/263436

Least Common Multiple of 29,12,757 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,12,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,12,757) = 1

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

GCF(29,12,757) x common factors =1 x 1 = 1

LCM(29,12,757) = ( 29 × 12 × 757 ) / 1

LCM(29,12,757) = 263436 / 1

LCM(29,12,757) = 263436

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FAQs on GCF of Fractions of 96/29, 78/12, 191/757

1. What is the HCF of 96,78,191?

The HCF of 96,78,191 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 96/29, 78/12, 191/757?

Answer: GCF of Numerators as per given numbers 96/29, 78/12, 191/757 is

GCF of Numerators i.e. for 96,78,191 is 1

LCM of denominators i.e. for 29,12,757 is 263436.

Thus, GCF of Fractions is 1/263436.Finally, GCF of Fractions for 96/29, 78/12, 191/757 is 1/263436.