GCF of 303/549, 9327/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/549, 9327/214 i.e 3/117486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/549, 9327/214.
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 303/549,9327/214?
Given fractions are 303/549,9327/214
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 303/549,9327/214, numerators are 303,9327
Denominators are 549,214
The GCF of 303,9327 is 3 .
LCM of 549,214 is 117486.
The greatest common factor of 303/549,9327/214 = [GCF of 303,9327]/[LCM of 549,214]= 3/117486
Therefore, the GCF of 303/549,9327/214 is 3/117486.
To find the highest common factor of 303,9327, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 9327 are 1, 3, 3109, 9327
The HCF of 303,9327 is 3.
Lets's calculate GCF of 303,9327
| 3 | 303, 9327 |
| 101, 3109 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 303,9327 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 9327
:1,3,3109,9327
Greatest Common Factor
We found the factors 303,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 303,9327 is 3.
Lets's calculate LCM of 549,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 117486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117486
Therefore, the GCF of Fractions 303/549,9327/214 is 3/117486
Least Common Multiple of 549,214 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 549,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,214) x common factors =1 x 1 = 1
LCM(549,214) = ( 549 × 214 ) / 1
LCM(549,214) = 117486 / 1
LCM(549,214) = 117486
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FAQs on GCF of Fractions of 303/549, 9327/214
1. What is the HCF of 303,9327?
The HCF of 303,9327 is 3
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 303/549, 9327/214?
Answer: GCF of Numerators as per given numbers 303/549, 9327/214 is
GCF of Numerators i.e. for 303,9327 is 3
LCM of denominators i.e. for 549,214 is 117486.
Thus, GCF of Fractions is 3/117486.Finally, GCF of Fractions for 303/549, 9327/214 is 3/117486.