GCF of 5387/848, 3282/7083
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5387/848, 3282/7083 i.e 1/6006384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5387/848, 3282/7083.
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 5387/848,3282/7083?
Given fractions are 5387/848,3282/7083
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 5387/848,3282/7083, numerators are 5387,3282
Denominators are 848,7083
The GCF of 5387,3282 is 1 .
LCM of 848,7083 is 6006384.
The greatest common factor of 5387/848,3282/7083 = [GCF of 5387,3282]/[LCM of 848,7083]= 1/6006384
Therefore, the GCF of 5387/848,3282/7083 is 1/6006384.
To find the highest common factor of 5387,3282, we have to find the factors of both numbers and list the highest common factor.
The factors of 5387 are 1, 5387
The factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282
The HCF of 5387,3282 is 1.
Lets's calculate GCF of 5387,3282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5387,3282 By Matching Biggest Common Factor Method
Now, list down the factors of 5387
:1,5387
Now, list down the factors of 3282
:1,2,3,6,547,1094,1641,3282
Greatest Common Factor
We found the factors 5387,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 5387,3282 is 1.
Lets's calculate LCM of 848,7083
Given numbers has no common factors except 1. So, there LCM is their product i.e 6006384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006384
Therefore, the GCF of Fractions 5387/848,3282/7083 is 1/6006384
Least Common Multiple of 848,7083 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 848,7083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,7083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,7083) x common factors =1 x 1 = 1
LCM(848,7083) = ( 848 × 7083 ) / 1
LCM(848,7083) = 6006384 / 1
LCM(848,7083) = 6006384
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5387/848, 3282/7083
1. What is the HCF of 5387,3282?
The HCF of 5387,3282 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 5387/848, 3282/7083?
Answer: GCF of Numerators as per given numbers 5387/848, 3282/7083 is
GCF of Numerators i.e. for 5387,3282 is 1
LCM of denominators i.e. for 848,7083 is 6006384.
Thus, GCF of Fractions is 1/6006384.Finally, GCF of Fractions for 5387/848, 3282/7083 is 1/6006384.