How to Find GCF of 78/607, 605/710, 723/338?

GCF of 78/607, 605/710, 723/338

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 78/607, 605/710, 723/338 i.e 1/72833930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 78/607, 605/710, 723/338.

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 78/607,605/710,723/338?

Given fractions are 78/607,605/710,723/338

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 78/607,605/710,723/338, numerators are 78,605,723

Denominators are 607,710,338

The GCF of 78,605,723 is 1 .

LCM of 607,710,338 is 72833930.

The greatest common factor of 78/607,605/710,723/338 = [GCF of 78,605,723]/[LCM of 607,710,338]= 1/72833930

Therefore, the GCF of 78/607,605/710,723/338 is 1/72833930.

Greatest Common Factor of 78,605,723

To find the highest common factor of 78,605,723, 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 605 are 1, 5, 11, 55, 121, 605

The factors of 723 are 1, 3, 241, 723

The HCF of 78,605,723 is 1.

Lets's calculate GCF of 78,605,723

Greatest Common Factor (GCF) of 78,605,723 By Common Division

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

Greatest Common Factor of 78,605,723 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 605

1,5,11,55,121,605

Now, list down the factors of 723

1,3,241,723

Greatest Common Factor

We found the factors 78,605,723 . The biggest common factor number is the GCF number.
So the greatest common factor 78,605,723 is 1.

Lets's calculate LCM of 607,710,338

Lowest Common Multiple of 607,710,338 using Common Division

2	607, 710, 338
	607, 355, 169

∴ So the LCM of the given numbers is 2 x 607 x 355 x 169 = 72833930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72833930

Therefore, the GCF of Fractions 78/607,605/710,723/338 is 1/72833930

Least Common Multiple of 607,710,338 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 607,710,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,710,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(607,710,338) x common factors =1 x 2 = 2

LCM(607,710,338) = ( 607 × 710 × 338 ) / 2

LCM(607,710,338) = 145667860 / 2

LCM(607,710,338) = 72833930

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 78/607, 605/710, 723/338

1. What is the HCF of 78,605,723?

The HCF of 78,605,723 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 78/607, 605/710, 723/338?

Answer: GCF of Numerators as per given numbers 78/607, 605/710, 723/338 is

GCF of Numerators i.e. for 78,605,723 is 1

LCM of denominators i.e. for 607,710,338 is 72833930.

Thus, GCF of Fractions is 1/72833930.Finally, GCF of Fractions for 78/607, 605/710, 723/338 is 1/72833930.