GCF of 9509/243, 7417/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9509/243, 7417/144 i.e 1/3888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9509/243, 7417/144.
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 9509/243,7417/144?
Given fractions are 9509/243,7417/144
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 9509/243,7417/144, numerators are 9509,7417
Denominators are 243,144
The GCF of 9509,7417 is 1 .
LCM of 243,144 is 3888.
The greatest common factor of 9509/243,7417/144 = [GCF of 9509,7417]/[LCM of 243,144]= 1/3888
Therefore, the GCF of 9509/243,7417/144 is 1/3888.
To find the highest common factor of 9509,7417, we have to find the factors of both numbers and list the highest common factor.
The factors of 9509 are 1, 37, 257, 9509
The factors of 7417 are 1, 7417
The HCF of 9509,7417 is 1.
Lets's calculate GCF of 9509,7417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9509,7417 By Matching Biggest Common Factor Method
Now, list down the factors of 9509
:1,37,257,9509
Now, list down the factors of 7417
:1,7417
Greatest Common Factor
We found the factors 9509,7417 . The biggest common factor number is the GCF number.
So the greatest common factor 9509,7417 is 1.
Lets's calculate LCM of 243,144
| 3 | 243, 144 |
| 3 | 81, 48 |
| 27, 16 |
∴ So the LCM of the given numbers is 3 x 3 x 27 x 16 = 3888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3888
Therefore, the GCF of Fractions 9509/243,7417/144 is 1/3888
Least Common Multiple of 243,144 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 243,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,144) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(243,144) x common factors =9 x 1 = 9
LCM(243,144) = ( 243 × 144 ) / 9
LCM(243,144) = 34992 / 9
LCM(243,144) = 3888
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FAQs on GCF of Fractions of 9509/243, 7417/144
1. What is the HCF of 9509,7417?
The HCF of 9509,7417 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 9509/243, 7417/144?
Answer: GCF of Numerators as per given numbers 9509/243, 7417/144 is
GCF of Numerators i.e. for 9509,7417 is 1
LCM of denominators i.e. for 243,144 is 3888.
Thus, GCF of Fractions is 1/3888.Finally, GCF of Fractions for 9509/243, 7417/144 is 1/3888.