GCF of 4917/256, 9616/1593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4917/256, 9616/1593 i.e 1/407808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4917/256, 9616/1593.
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 4917/256,9616/1593?
Given fractions are 4917/256,9616/1593
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 4917/256,9616/1593, numerators are 4917,9616
Denominators are 256,1593
The GCF of 4917,9616 is 1 .
LCM of 256,1593 is 407808.
The greatest common factor of 4917/256,9616/1593 = [GCF of 4917,9616]/[LCM of 256,1593]= 1/407808
Therefore, the GCF of 4917/256,9616/1593 is 1/407808.
To find the highest common factor of 4917,9616, we have to find the factors of both numbers and list the highest common factor.
The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917
The factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616
The HCF of 4917,9616 is 1.
Lets's calculate GCF of 4917,9616
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4917,9616 By Matching Biggest Common Factor Method
Now, list down the factors of 4917
:1,3,11,33,149,447,1639,4917
Now, list down the factors of 9616
:1,2,4,8,16,601,1202,2404,4808,9616
Greatest Common Factor
We found the factors 4917,9616 . The biggest common factor number is the GCF number.
So the greatest common factor 4917,9616 is 1.
Lets's calculate LCM of 256,1593
Given numbers has no common factors except 1. So, there LCM is their product i.e 407808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407808
Therefore, the GCF of Fractions 4917/256,9616/1593 is 1/407808
Least Common Multiple of 256,1593 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 256,1593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,1593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,1593) x common factors =1 x 1 = 1
LCM(256,1593) = ( 256 × 1593 ) / 1
LCM(256,1593) = 407808 / 1
LCM(256,1593) = 407808
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FAQs on GCF of Fractions of 4917/256, 9616/1593
1. What is the HCF of 4917,9616?
The HCF of 4917,9616 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 4917/256, 9616/1593?
Answer: GCF of Numerators as per given numbers 4917/256, 9616/1593 is
GCF of Numerators i.e. for 4917,9616 is 1
LCM of denominators i.e. for 256,1593 is 407808.
Thus, GCF of Fractions is 1/407808.Finally, GCF of Fractions for 4917/256, 9616/1593 is 1/407808.