How to Find GCF of 78/19, 751/76, 679/618?

GCF of 78/19, 751/76, 679/618

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 78/19, 751/76, 679/618 i.e 1/23484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/19, 751/76, 679/618.

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 78/19,751/76,679/618?

Given fractions are 78/19,751/76,679/618

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 78/19,751/76,679/618, numerators are 78,751,679

Denominators are 19,76,618

The GCF of 78,751,679 is 1 .

LCM of 19,76,618 is 23484.

The greatest common factor of 78/19,751/76,679/618 = [GCF of 78,751,679]/[LCM of 19,76,618]= 1/23484

Therefore, the GCF of 78/19,751/76,679/618 is 1/23484.

Greatest Common Factor of 78,751,679

To find the highest common factor of 78,751,679, 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 751 are 1, 751

The factors of 679 are 1, 7, 97, 679

The HCF of 78,751,679 is 1.

Lets's calculate GCF of 78,751,679

Greatest Common Factor (GCF) of 78,751,679 By Common Division

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

Greatest Common Factor of 78,751,679 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 751

1,751

Now, list down the factors of 679

1,7,97,679

Greatest Common Factor

We found the factors 78,751,679 . The biggest common factor number is the GCF number.
So the greatest common factor 78,751,679 is 1.

Lets's calculate LCM of 19,76,618

Lowest Common Multiple of 19,76,618 using Common Division

2	19, 76, 618
19	19, 38, 309
	1, 2, 309

∴ So the LCM of the given numbers is 2 x 19 x 1 x 2 x 309 = 23484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23484

Therefore, the GCF of Fractions 78/19,751/76,679/618 is 1/23484

Least Common Multiple of 19,76,618 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 19,76,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,76,618) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(19,76,618) x common factors =1 x 38 = 38

LCM(19,76,618) = ( 19 × 76 × 618 ) / 38

LCM(19,76,618) = 892392 / 38

LCM(19,76,618) = 23484

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FAQs on GCF of Fractions of 78/19, 751/76, 679/618

1. What is the HCF of 78,751,679?

The HCF of 78,751,679 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 78/19, 751/76, 679/618?

Answer: GCF of Numerators as per given numbers 78/19, 751/76, 679/618 is

GCF of Numerators i.e. for 78,751,679 is 1

LCM of denominators i.e. for 19,76,618 is 23484.

Thus, GCF of Fractions is 1/23484.Finally, GCF of Fractions for 78/19, 751/76, 679/618 is 1/23484.