GCF of 7063/443, 2091/4179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7063/443, 2091/4179 i.e 1/1851297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7063/443, 2091/4179.
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 7063/443,2091/4179?
Given fractions are 7063/443,2091/4179
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 7063/443,2091/4179, numerators are 7063,2091
Denominators are 443,4179
The GCF of 7063,2091 is 1 .
LCM of 443,4179 is 1851297.
The greatest common factor of 7063/443,2091/4179 = [GCF of 7063,2091]/[LCM of 443,4179]= 1/1851297
Therefore, the GCF of 7063/443,2091/4179 is 1/1851297.
To find the highest common factor of 7063,2091, we have to find the factors of both numbers and list the highest common factor.
The factors of 7063 are 1, 7, 1009, 7063
The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091
The HCF of 7063,2091 is 1.
Lets's calculate GCF of 7063,2091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7063,2091 By Matching Biggest Common Factor Method
Now, list down the factors of 7063
:1,7,1009,7063
Now, list down the factors of 2091
:1,3,17,41,51,123,697,2091
Greatest Common Factor
We found the factors 7063,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 7063,2091 is 1.
Lets's calculate LCM of 443,4179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1851297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1851297
Therefore, the GCF of Fractions 7063/443,2091/4179 is 1/1851297
Least Common Multiple of 443,4179 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 443,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,4179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,4179) x common factors =1 x 1 = 1
LCM(443,4179) = ( 443 × 4179 ) / 1
LCM(443,4179) = 1851297 / 1
LCM(443,4179) = 1851297
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FAQs on GCF of Fractions of 7063/443, 2091/4179
1. What is the HCF of 7063,2091?
The HCF of 7063,2091 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 7063/443, 2091/4179?
Answer: GCF of Numerators as per given numbers 7063/443, 2091/4179 is
GCF of Numerators i.e. for 7063,2091 is 1
LCM of denominators i.e. for 443,4179 is 1851297.
Thus, GCF of Fractions is 1/1851297.Finally, GCF of Fractions for 7063/443, 2091/4179 is 1/1851297.