How to Find GCF of 4785/608, 7727/2872?

GCF of 4785/608, 7727/2872

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 4785/608, 7727/2872 i.e 1/218272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4785/608, 7727/2872.

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 4785/608,7727/2872?

Given fractions are 4785/608,7727/2872

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 4785/608,7727/2872, numerators are 4785,7727

Denominators are 608,2872

The GCF of 4785,7727 is 1 .

LCM of 608,2872 is 218272.

The greatest common factor of 4785/608,7727/2872 = [GCF of 4785,7727]/[LCM of 608,2872]= 1/218272

Therefore, the GCF of 4785/608,7727/2872 is 1/218272.

Greatest Common Factor of 4785,7727

To find the highest common factor of 4785,7727, we have to find the factors of both numbers and list the highest common factor.

The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785

The factors of 7727 are 1, 7727

The HCF of 4785,7727 is 1.

Lets's calculate GCF of 4785,7727

Greatest Common Factor (GCF) of 4785,7727 By Common Division

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

Greatest Common Factor of 4785,7727 By Matching Biggest Common Factor Method

Now, list down the factors of 4785

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Now, list down the factors of 7727

1,7727

Greatest Common Factor

We found the factors 4785,7727 . The biggest common factor number is the GCF number.
So the greatest common factor 4785,7727 is 1.

Lets's calculate LCM of 608,2872

Lowest Common Multiple of 608,2872 using Common Division

2	608, 2872
2	304, 1436
2	152, 718
	76, 359

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 359 = 218272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218272

Therefore, the GCF of Fractions 4785/608,7727/2872 is 1/218272

Least Common Multiple of 608,2872 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 608,2872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,2872) = 8

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

GCF(608,2872) x common factors =8 x 1 = 8

LCM(608,2872) = ( 608 × 2872 ) / 8

LCM(608,2872) = 1746176 / 8

LCM(608,2872) = 218272

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FAQs on GCF of Fractions of 4785/608, 7727/2872

1. What is the HCF of 4785,7727?

The HCF of 4785,7727 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 4785/608, 7727/2872?

Answer: GCF of Numerators as per given numbers 4785/608, 7727/2872 is

GCF of Numerators i.e. for 4785,7727 is 1

LCM of denominators i.e. for 608,2872 is 218272.

Thus, GCF of Fractions is 1/218272.Finally, GCF of Fractions for 4785/608, 7727/2872 is 1/218272.