GCF of 5373/872, 4857/8064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5373/872, 4857/8064 i.e 3/878976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5373/872, 4857/8064.
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 5373/872,4857/8064?
Given fractions are 5373/872,4857/8064
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 5373/872,4857/8064, numerators are 5373,4857
Denominators are 872,8064
The GCF of 5373,4857 is 3 .
LCM of 872,8064 is 878976.
The greatest common factor of 5373/872,4857/8064 = [GCF of 5373,4857]/[LCM of 872,8064]= 3/878976
Therefore, the GCF of 5373/872,4857/8064 is 3/878976.
To find the highest common factor of 5373,4857, we have to find the factors of both numbers and list the highest common factor.
The factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373
The factors of 4857 are 1, 3, 1619, 4857
The HCF of 5373,4857 is 3.
Lets's calculate GCF of 5373,4857
| 3 | 5373, 4857 |
| 1791, 1619 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5373,4857 By Matching Biggest Common Factor Method
Now, list down the factors of 5373
:1,3,9,27,199,597,1791,5373
Now, list down the factors of 4857
:1,3,1619,4857
Greatest Common Factor
We found the factors 5373,4857 . The biggest common factor number is the GCF number.
So the greatest common factor 5373,4857 is 3.
Lets's calculate LCM of 872,8064
| 2 | 872, 8064 |
| 2 | 436, 4032 |
| 2 | 218, 2016 |
| 109, 1008 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 1008 = 878976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/878976
Therefore, the GCF of Fractions 5373/872,4857/8064 is 3/878976
Least Common Multiple of 872,8064 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 872,8064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,8064) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,8064) x common factors =8 x 1 = 8
LCM(872,8064) = ( 872 × 8064 ) / 8
LCM(872,8064) = 7031808 / 8
LCM(872,8064) = 878976
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FAQs on GCF of Fractions of 5373/872, 4857/8064
1. What is the HCF of 5373,4857?
The HCF of 5373,4857 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 5373/872, 4857/8064?
Answer: GCF of Numerators as per given numbers 5373/872, 4857/8064 is
GCF of Numerators i.e. for 5373,4857 is 3
LCM of denominators i.e. for 872,8064 is 878976.
Thus, GCF of Fractions is 3/878976.Finally, GCF of Fractions for 5373/872, 4857/8064 is 3/878976.