How to Find GCF of 4679/601, 6476/7592?

GCF of 4679/601, 6476/7592

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 4679/601, 6476/7592 i.e 1/4562792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4679/601, 6476/7592.

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 4679/601,6476/7592?

Given fractions are 4679/601,6476/7592

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 4679/601,6476/7592, numerators are 4679,6476

Denominators are 601,7592

The GCF of 4679,6476 is 1 .

LCM of 601,7592 is 4562792.

The greatest common factor of 4679/601,6476/7592 = [GCF of 4679,6476]/[LCM of 601,7592]= 1/4562792

Therefore, the GCF of 4679/601,6476/7592 is 1/4562792.

Greatest Common Factor of 4679,6476

To find the highest common factor of 4679,6476, we have to find the factors of both numbers and list the highest common factor.

The factors of 4679 are 1, 4679

The factors of 6476 are 1, 2, 4, 1619, 3238, 6476

The HCF of 4679,6476 is 1.

Lets's calculate GCF of 4679,6476

Greatest Common Factor (GCF) of 4679,6476 By Common Division

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

Greatest Common Factor of 4679,6476 By Matching Biggest Common Factor Method

Now, list down the factors of 4679

1,4679

Now, list down the factors of 6476

1,2,4,1619,3238,6476

Greatest Common Factor

We found the factors 4679,6476 . The biggest common factor number is the GCF number.
So the greatest common factor 4679,6476 is 1.

Lets's calculate LCM of 601,7592

Lowest Common Multiple of 601,7592 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4562792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4562792

Therefore, the GCF of Fractions 4679/601,6476/7592 is 1/4562792

Least Common Multiple of 601,7592 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 601,7592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,7592) = 1

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

GCF(601,7592) x common factors =1 x 1 = 1

LCM(601,7592) = ( 601 × 7592 ) / 1

LCM(601,7592) = 4562792 / 1

LCM(601,7592) = 4562792

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FAQs on GCF of Fractions of 4679/601, 6476/7592

1. What is the HCF of 4679,6476?

The HCF of 4679,6476 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 4679/601, 6476/7592?

Answer: GCF of Numerators as per given numbers 4679/601, 6476/7592 is

GCF of Numerators i.e. for 4679,6476 is 1

LCM of denominators i.e. for 601,7592 is 4562792.

Thus, GCF of Fractions is 1/4562792.Finally, GCF of Fractions for 4679/601, 6476/7592 is 1/4562792.