GCF of 3317/321, 8641/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3317/321, 8641/493 i.e 1/158253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3317/321, 8641/493.
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 3317/321,8641/493?
Given fractions are 3317/321,8641/493
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 3317/321,8641/493, numerators are 3317,8641
Denominators are 321,493
The GCF of 3317,8641 is 1 .
LCM of 321,493 is 158253.
The greatest common factor of 3317/321,8641/493 = [GCF of 3317,8641]/[LCM of 321,493]= 1/158253
Therefore, the GCF of 3317/321,8641/493 is 1/158253.
To find the highest common factor of 3317,8641, we have to find the factors of both numbers and list the highest common factor.
The factors of 3317 are 1, 31, 107, 3317
The factors of 8641 are 1, 8641
The HCF of 3317,8641 is 1.
Lets's calculate GCF of 3317,8641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3317,8641 By Matching Biggest Common Factor Method
Now, list down the factors of 3317
:1,31,107,3317
Now, list down the factors of 8641
:1,8641
Greatest Common Factor
We found the factors 3317,8641 . The biggest common factor number is the GCF number.
So the greatest common factor 3317,8641 is 1.
Lets's calculate LCM of 321,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 158253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158253
Therefore, the GCF of Fractions 3317/321,8641/493 is 1/158253
Least Common Multiple of 321,493 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 321,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,493) x common factors =1 x 1 = 1
LCM(321,493) = ( 321 × 493 ) / 1
LCM(321,493) = 158253 / 1
LCM(321,493) = 158253
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FAQs on GCF of Fractions of 3317/321, 8641/493
1. What is the HCF of 3317,8641?
The HCF of 3317,8641 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 3317/321, 8641/493?
Answer: GCF of Numerators as per given numbers 3317/321, 8641/493 is
GCF of Numerators i.e. for 3317,8641 is 1
LCM of denominators i.e. for 321,493 is 158253.
Thus, GCF of Fractions is 1/158253.Finally, GCF of Fractions for 3317/321, 8641/493 is 1/158253.