GCF of 2329/978, 4821/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2329/978, 4821/413 i.e 1/403914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2329/978, 4821/413.
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 2329/978,4821/413?
Given fractions are 2329/978,4821/413
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 2329/978,4821/413, numerators are 2329,4821
Denominators are 978,413
The GCF of 2329,4821 is 1 .
LCM of 978,413 is 403914.
The greatest common factor of 2329/978,4821/413 = [GCF of 2329,4821]/[LCM of 978,413]= 1/403914
Therefore, the GCF of 2329/978,4821/413 is 1/403914.
To find the highest common factor of 2329,4821, we have to find the factors of both numbers and list the highest common factor.
The factors of 2329 are 1, 17, 137, 2329
The factors of 4821 are 1, 3, 1607, 4821
The HCF of 2329,4821 is 1.
Lets's calculate GCF of 2329,4821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2329,4821 By Matching Biggest Common Factor Method
Now, list down the factors of 2329
:1,17,137,2329
Now, list down the factors of 4821
:1,3,1607,4821
Greatest Common Factor
We found the factors 2329,4821 . The biggest common factor number is the GCF number.
So the greatest common factor 2329,4821 is 1.
Lets's calculate LCM of 978,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 403914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403914
Therefore, the GCF of Fractions 2329/978,4821/413 is 1/403914
Least Common Multiple of 978,413 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 978,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,413) x common factors =1 x 1 = 1
LCM(978,413) = ( 978 × 413 ) / 1
LCM(978,413) = 403914 / 1
LCM(978,413) = 403914
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FAQs on GCF of Fractions of 2329/978, 4821/413
1. What is the HCF of 2329,4821?
The HCF of 2329,4821 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 2329/978, 4821/413?
Answer: GCF of Numerators as per given numbers 2329/978, 4821/413 is
GCF of Numerators i.e. for 2329,4821 is 1
LCM of denominators i.e. for 978,413 is 403914.
Thus, GCF of Fractions is 1/403914.Finally, GCF of Fractions for 2329/978, 4821/413 is 1/403914.