How to Find GCF of 82/608, 29/975, 273/778?

GCF of 82/608, 29/975, 273/778

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 82/608, 29/975, 273/778 i.e 1/230599200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/608, 29/975, 273/778.

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 82/608,29/975,273/778?

Given fractions are 82/608,29/975,273/778

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 82/608,29/975,273/778, numerators are 82,29,273

Denominators are 608,975,778

The GCF of 82,29,273 is 1 .

LCM of 608,975,778 is 230599200.

The greatest common factor of 82/608,29/975,273/778 = [GCF of 82,29,273]/[LCM of 608,975,778]= 1/230599200

Therefore, the GCF of 82/608,29/975,273/778 is 1/230599200.

Greatest Common Factor of 82,29,273

To find the highest common factor of 82,29,273, we have to find the factors of both numbers and list the highest common factor.

The factors of 82 are 1, 2, 41, 82

The factors of 29 are 1, 29

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The HCF of 82,29,273 is 1.

Lets's calculate GCF of 82,29,273

Greatest Common Factor (GCF) of 82,29,273 By Common Division

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

Greatest Common Factor of 82,29,273 By Matching Biggest Common Factor Method

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 29

1,29

Now, list down the factors of 273

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 82,29,273 . The biggest common factor number is the GCF number.
So the greatest common factor 82,29,273 is 1.

Lets's calculate LCM of 608,975,778

Lowest Common Multiple of 608,975,778 using Common Division

2	608, 975, 778
	304, 975, 389

∴ So the LCM of the given numbers is 2 x 304 x 975 x 389 = 230599200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230599200

Therefore, the GCF of Fractions 82/608,29/975,273/778 is 1/230599200

Least Common Multiple of 608,975,778 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 608,975,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,975,778) = 1

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

GCF(608,975,778) x common factors =1 x 2 = 2

LCM(608,975,778) = ( 608 × 975 × 778 ) / 2

LCM(608,975,778) = 461198400 / 2

LCM(608,975,778) = 230599200

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 82/608, 29/975, 273/778

1. What is the HCF of 82,29,273?

The HCF of 82,29,273 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 82/608, 29/975, 273/778?

Answer: GCF of Numerators as per given numbers 82/608, 29/975, 273/778 is

GCF of Numerators i.e. for 82,29,273 is 1

LCM of denominators i.e. for 608,975,778 is 230599200.

Thus, GCF of Fractions is 1/230599200.Finally, GCF of Fractions for 82/608, 29/975, 273/778 is 1/230599200.