How to Find GCF of 78/48, 979/91, 619/266?

GCF of 78/48, 979/91, 619/266

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 78/48, 979/91, 619/266 i.e 1/82992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/48, 979/91, 619/266.

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 78/48,979/91,619/266?

Given fractions are 78/48,979/91,619/266

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 78/48,979/91,619/266, numerators are 78,979,619

Denominators are 48,91,266

The GCF of 78,979,619 is 1 .

LCM of 48,91,266 is 82992.

The greatest common factor of 78/48,979/91,619/266 = [GCF of 78,979,619]/[LCM of 48,91,266]= 1/82992

Therefore, the GCF of 78/48,979/91,619/266 is 1/82992.

Greatest Common Factor of 78,979,619

To find the highest common factor of 78,979,619, 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 979 are 1, 11, 89, 979

The factors of 619 are 1, 619

The HCF of 78,979,619 is 1.

Lets's calculate GCF of 78,979,619

Greatest Common Factor (GCF) of 78,979,619 By Common Division

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

Greatest Common Factor of 78,979,619 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 979

1,11,89,979

Now, list down the factors of 619

1,619

Greatest Common Factor

We found the factors 78,979,619 . The biggest common factor number is the GCF number.
So the greatest common factor 78,979,619 is 1.

Lets's calculate LCM of 48,91,266

Lowest Common Multiple of 48,91,266 using Common Division

2	48, 91, 266
7	24, 91, 133
	24, 13, 19

∴ So the LCM of the given numbers is 2 x 7 x 24 x 13 x 19 = 82992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82992

Therefore, the GCF of Fractions 78/48,979/91,619/266 is 1/82992

Least Common Multiple of 48,91,266 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 48,91,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,91,266) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(48,91,266) x common factors =1 x 14 = 14

LCM(48,91,266) = ( 48 × 91 × 266 ) / 14

LCM(48,91,266) = 1161888 / 14

LCM(48,91,266) = 82992

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/48, 979/91, 619/266

1. What is the HCF of 78,979,619?

The HCF of 78,979,619 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 78/48, 979/91, 619/266?

Answer: GCF of Numerators as per given numbers 78/48, 979/91, 619/266 is

GCF of Numerators i.e. for 78,979,619 is 1

LCM of denominators i.e. for 48,91,266 is 82992.

Thus, GCF of Fractions is 1/82992.Finally, GCF of Fractions for 78/48, 979/91, 619/266 is 1/82992.