GCF of 3392/248, 9469/9137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3392/248, 9469/9137 i.e 1/2265976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3392/248, 9469/9137.
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 3392/248,9469/9137?
Given fractions are 3392/248,9469/9137
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 3392/248,9469/9137, numerators are 3392,9469
Denominators are 248,9137
The GCF of 3392,9469 is 1 .
LCM of 248,9137 is 2265976.
The greatest common factor of 3392/248,9469/9137 = [GCF of 3392,9469]/[LCM of 248,9137]= 1/2265976
Therefore, the GCF of 3392/248,9469/9137 is 1/2265976.
To find the highest common factor of 3392,9469, we have to find the factors of both numbers and list the highest common factor.
The factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392
The factors of 9469 are 1, 17, 557, 9469
The HCF of 3392,9469 is 1.
Lets's calculate GCF of 3392,9469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3392,9469 By Matching Biggest Common Factor Method
Now, list down the factors of 3392
:1,2,4,8,16,32,53,64,106,212,424,848,1696,3392
Now, list down the factors of 9469
:1,17,557,9469
Greatest Common Factor
We found the factors 3392,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 3392,9469 is 1.
Lets's calculate LCM of 248,9137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2265976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2265976
Therefore, the GCF of Fractions 3392/248,9469/9137 is 1/2265976
Least Common Multiple of 248,9137 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 248,9137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,9137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,9137) x common factors =1 x 1 = 1
LCM(248,9137) = ( 248 × 9137 ) / 1
LCM(248,9137) = 2265976 / 1
LCM(248,9137) = 2265976
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FAQs on GCF of Fractions of 3392/248, 9469/9137
1. What is the HCF of 3392,9469?
The HCF of 3392,9469 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 3392/248, 9469/9137?
Answer: GCF of Numerators as per given numbers 3392/248, 9469/9137 is
GCF of Numerators i.e. for 3392,9469 is 1
LCM of denominators i.e. for 248,9137 is 2265976.
Thus, GCF of Fractions is 1/2265976.Finally, GCF of Fractions for 3392/248, 9469/9137 is 1/2265976.