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GCF of 8703/604, 4701/2844

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 8703/604, 4701/2844 i.e 3/429444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8703/604, 4701/2844.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8703/604,4701/2844?

Given fractions are 8703/604,4701/2844

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 8703/604,4701/2844, numerators are 8703,4701

Denominators are 604,2844

The GCF of 8703,4701 is 3 .

LCM of 604,2844 is 429444.

The greatest common factor of 8703/604,4701/2844 = [GCF of 8703,4701]/[LCM of 604,2844]= 3/429444

Therefore, the GCF of 8703/604,4701/2844 is 3/429444.

Greatest Common Factor of 8703,4701

To find the highest common factor of 8703,4701, we have to find the factors of both numbers and list the highest common factor.

The factors of 8703 are 1, 3, 9, 967, 2901, 8703

The factors of 4701 are 1, 3, 1567, 4701

The HCF of 8703,4701 is 3.

Lets's calculate GCF of 8703,4701

Greatest Common Factor (GCF) of 8703,4701 By Common Division

3 8703, 4701
2901, 1567

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8703,4701 By Matching Biggest Common Factor Method

Greatest Common Factor of 8703,4701 By Matching Biggest Common Factor Method

Now, list down the factors of 8703

:

1,3,9,967,2901,8703

Now, list down the factors of 4701

:

1,3,1567,4701

Greatest Common Factor

We found the factors 8703,4701 . The biggest common factor number is the GCF number.
So the greatest common factor 8703,4701 is 3.


Lets's calculate LCM of 604,2844

Lowest Common Multiple of 604,2844 using Common Division

2 604, 2844
2 302, 1422
151, 711

∴ So the LCM of the given numbers is 2 x 2 x 151 x 711 = 429444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/429444

Therefore, the GCF of Fractions 8703/604,4701/2844 is 3/429444

Least Common Multiple of 604,2844 with GCF Formula

Least Common Multiple of 604,2844 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 604,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,2844) = 4

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

GCF(604,2844) x common factors =4 x 1 = 4

LCM(604,2844) = ( 604 × 2844 ) / 4

LCM(604,2844) = 1717776 / 4

LCM(604,2844) = 429444


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8703/604, 4701/2844

1. What is the HCF of 8703,4701?

The HCF of 8703,4701 is 3

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 8703/604, 4701/2844?

Answer: GCF of Numerators as per given numbers 8703/604, 4701/2844 is

GCF of Numerators i.e. for 8703,4701 is 3

LCM of denominators i.e. for 604,2844 is 429444.

Thus, GCF of Fractions is 3/429444.Finally, GCF of Fractions for 8703/604, 4701/2844 is 3/429444.