GCF of 4393/379, 6863/4828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4393/379, 6863/4828 i.e 1/1829812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4393/379, 6863/4828.
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 4393/379,6863/4828?
Given fractions are 4393/379,6863/4828
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 4393/379,6863/4828, numerators are 4393,6863
Denominators are 379,4828
The GCF of 4393,6863 is 1 .
LCM of 379,4828 is 1829812.
The greatest common factor of 4393/379,6863/4828 = [GCF of 4393,6863]/[LCM of 379,4828]= 1/1829812
Therefore, the GCF of 4393/379,6863/4828 is 1/1829812.
To find the highest common factor of 4393,6863, we have to find the factors of both numbers and list the highest common factor.
The factors of 4393 are 1, 23, 191, 4393
The factors of 6863 are 1, 6863
The HCF of 4393,6863 is 1.
Lets's calculate GCF of 4393,6863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4393,6863 By Matching Biggest Common Factor Method
Now, list down the factors of 4393
:1,23,191,4393
Now, list down the factors of 6863
:1,6863
Greatest Common Factor
We found the factors 4393,6863 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,6863 is 1.
Lets's calculate LCM of 379,4828
Given numbers has no common factors except 1. So, there LCM is their product i.e 1829812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1829812
Therefore, the GCF of Fractions 4393/379,6863/4828 is 1/1829812
Least Common Multiple of 379,4828 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 379,4828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,4828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,4828) x common factors =1 x 1 = 1
LCM(379,4828) = ( 379 × 4828 ) / 1
LCM(379,4828) = 1829812 / 1
LCM(379,4828) = 1829812
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FAQs on GCF of Fractions of 4393/379, 6863/4828
1. What is the HCF of 4393,6863?
The HCF of 4393,6863 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 4393/379, 6863/4828?
Answer: GCF of Numerators as per given numbers 4393/379, 6863/4828 is
GCF of Numerators i.e. for 4393,6863 is 1
LCM of denominators i.e. for 379,4828 is 1829812.
Thus, GCF of Fractions is 1/1829812.Finally, GCF of Fractions for 4393/379, 6863/4828 is 1/1829812.