GCF of 4338/215, 8165/4839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4338/215, 8165/4839 i.e 1/1040385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4338/215, 8165/4839.
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 4338/215,8165/4839?
Given fractions are 4338/215,8165/4839
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 4338/215,8165/4839, numerators are 4338,8165
Denominators are 215,4839
The GCF of 4338,8165 is 1 .
LCM of 215,4839 is 1040385.
The greatest common factor of 4338/215,8165/4839 = [GCF of 4338,8165]/[LCM of 215,4839]= 1/1040385
Therefore, the GCF of 4338/215,8165/4839 is 1/1040385.
To find the highest common factor of 4338,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 4338 are 1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169, 4338
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 4338,8165 is 1.
Lets's calculate GCF of 4338,8165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4338,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 4338
:1,2,3,6,9,18,241,482,723,1446,2169,4338
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 4338,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 4338,8165 is 1.
Lets's calculate LCM of 215,4839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1040385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040385
Therefore, the GCF of Fractions 4338/215,8165/4839 is 1/1040385
Least Common Multiple of 215,4839 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 215,4839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,4839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,4839) x common factors =1 x 1 = 1
LCM(215,4839) = ( 215 × 4839 ) / 1
LCM(215,4839) = 1040385 / 1
LCM(215,4839) = 1040385
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FAQs on GCF of Fractions of 4338/215, 8165/4839
1. What is the HCF of 4338,8165?
The HCF of 4338,8165 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 4338/215, 8165/4839?
Answer: GCF of Numerators as per given numbers 4338/215, 8165/4839 is
GCF of Numerators i.e. for 4338,8165 is 1
LCM of denominators i.e. for 215,4839 is 1040385.
Thus, GCF of Fractions is 1/1040385.Finally, GCF of Fractions for 4338/215, 8165/4839 is 1/1040385.