GCF of 303/414, 8502/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/414, 8502/367 i.e 3/151938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/414, 8502/367.
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 303/414,8502/367?
Given fractions are 303/414,8502/367
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 303/414,8502/367, numerators are 303,8502
Denominators are 414,367
The GCF of 303,8502 is 3 .
LCM of 414,367 is 151938.
The greatest common factor of 303/414,8502/367 = [GCF of 303,8502]/[LCM of 414,367]= 3/151938
Therefore, the GCF of 303/414,8502/367 is 3/151938.
To find the highest common factor of 303,8502, 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 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502
The HCF of 303,8502 is 3.
Lets's calculate GCF of 303,8502
| 3 | 303, 8502 |
| 101, 2834 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 303,8502 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 8502
:1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502
Greatest Common Factor
We found the factors 303,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 303,8502 is 3.
Lets's calculate LCM of 414,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 151938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151938
Therefore, the GCF of Fractions 303/414,8502/367 is 3/151938
Least Common Multiple of 414,367 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 414,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,367) x common factors =1 x 1 = 1
LCM(414,367) = ( 414 × 367 ) / 1
LCM(414,367) = 151938 / 1
LCM(414,367) = 151938
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FAQs on GCF of Fractions of 303/414, 8502/367
1. What is the HCF of 303,8502?
The HCF of 303,8502 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 303/414, 8502/367?
Answer: GCF of Numerators as per given numbers 303/414, 8502/367 is
GCF of Numerators i.e. for 303,8502 is 3
LCM of denominators i.e. for 414,367 is 151938.
Thus, GCF of Fractions is 3/151938.Finally, GCF of Fractions for 303/414, 8502/367 is 3/151938.