How to Find GCF of 78/911, 7378/7979?

GCF of 78/911, 7378/7979

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 78/911, 7378/7979 i.e 2/7268869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/911, 7378/7979.

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 78/911,7378/7979?

Given fractions are 78/911,7378/7979

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 78/911,7378/7979, numerators are 78,7378

Denominators are 911,7979

The GCF of 78,7378 is 2 .

LCM of 911,7979 is 7268869.

The greatest common factor of 78/911,7378/7979 = [GCF of 78,7378]/[LCM of 911,7979]= 2/7268869

Therefore, the GCF of 78/911,7378/7979 is 2/7268869.

Greatest Common Factor of 78,7378

To find the highest common factor of 78,7378, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 7378 are 1, 2, 7, 14, 17, 31, 34, 62, 119, 217, 238, 434, 527, 1054, 3689, 7378

The HCF of 78,7378 is 2.

Lets's calculate GCF of 78,7378

Greatest Common Factor (GCF) of 78,7378 By Common Division

2	78, 7378
	39, 3689

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

Greatest Common Factor of 78,7378 By Matching Biggest Common Factor Method

Now, list down the factors of 78

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

Now, list down the factors of 7378

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors 78,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7378 is 2.

Lets's calculate LCM of 911,7979

Lowest Common Multiple of 911,7979 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7268869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7268869

Therefore, the GCF of Fractions 78/911,7378/7979 is 2/7268869

Least Common Multiple of 911,7979 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 911,7979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,7979) = 1

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

GCF(911,7979) x common factors =1 x 1 = 1

LCM(911,7979) = ( 911 × 7979 ) / 1

LCM(911,7979) = 7268869 / 1

LCM(911,7979) = 7268869

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FAQs on GCF of Fractions of 78/911, 7378/7979

1. What is the HCF of 78,7378?

The HCF of 78,7378 is 2

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 78/911, 7378/7979?

Answer: GCF of Numerators as per given numbers 78/911, 7378/7979 is

GCF of Numerators i.e. for 78,7378 is 2

LCM of denominators i.e. for 911,7979 is 7268869.

Thus, GCF of Fractions is 2/7268869.Finally, GCF of Fractions for 78/911, 7378/7979 is 2/7268869.