How to Find GCF of 3001/919, 4779/715?

GCF of 3001/919, 4779/715

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 3001/919, 4779/715 i.e 1/657085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3001/919, 4779/715.

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 3001/919,4779/715?

Given fractions are 3001/919,4779/715

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 3001/919,4779/715, numerators are 3001,4779

Denominators are 919,715

The GCF of 3001,4779 is 1 .

LCM of 919,715 is 657085.

The greatest common factor of 3001/919,4779/715 = [GCF of 3001,4779]/[LCM of 919,715]= 1/657085

Therefore, the GCF of 3001/919,4779/715 is 1/657085.

Greatest Common Factor of 3001,4779

To find the highest common factor of 3001,4779, we have to find the factors of both numbers and list the highest common factor.

The factors of 3001 are 1, 3001

The factors of 4779 are 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779

The HCF of 3001,4779 is 1.

Lets's calculate GCF of 3001,4779

Greatest Common Factor (GCF) of 3001,4779 By Common Division

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

Greatest Common Factor of 3001,4779 By Matching Biggest Common Factor Method

Now, list down the factors of 3001

1,3001

Now, list down the factors of 4779

1,3,9,27,59,81,177,531,1593,4779

Greatest Common Factor

We found the factors 3001,4779 . The biggest common factor number is the GCF number.
So the greatest common factor 3001,4779 is 1.

Lets's calculate LCM of 919,715

Lowest Common Multiple of 919,715 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 657085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657085

Therefore, the GCF of Fractions 3001/919,4779/715 is 1/657085

Least Common Multiple of 919,715 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 919,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,715) = 1

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

GCF(919,715) x common factors =1 x 1 = 1

LCM(919,715) = ( 919 × 715 ) / 1

LCM(919,715) = 657085 / 1

LCM(919,715) = 657085

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FAQs on GCF of Fractions of 3001/919, 4779/715

1. What is the HCF of 3001,4779?

The HCF of 3001,4779 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 3001/919, 4779/715?

Answer: GCF of Numerators as per given numbers 3001/919, 4779/715 is

GCF of Numerators i.e. for 3001,4779 is 1

LCM of denominators i.e. for 919,715 is 657085.

Thus, GCF of Fractions is 1/657085.Finally, GCF of Fractions for 3001/919, 4779/715 is 1/657085.