GCF of 9128/509, 7245/8317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9128/509, 7245/8317 i.e 7/4233353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9128/509, 7245/8317.
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 9128/509,7245/8317?
Given fractions are 9128/509,7245/8317
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 9128/509,7245/8317, numerators are 9128,7245
Denominators are 509,8317
The GCF of 9128,7245 is 7 .
LCM of 509,8317 is 4233353.
The greatest common factor of 9128/509,7245/8317 = [GCF of 9128,7245]/[LCM of 509,8317]= 7/4233353
Therefore, the GCF of 9128/509,7245/8317 is 7/4233353.
To find the highest common factor of 9128,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 9128,7245 is 7.
Lets's calculate GCF of 9128,7245
| 7 | 9128, 7245 |
| 1304, 1035 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9128,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 9128
:1,2,4,7,8,14,28,56,163,326,652,1141,1304,2282,4564,9128
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 9128,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 9128,7245 is 7.
Lets's calculate LCM of 509,8317
Given numbers has no common factors except 1. So, there LCM is their product i.e 4233353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4233353
Therefore, the GCF of Fractions 9128/509,7245/8317 is 7/4233353
Least Common Multiple of 509,8317 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 509,8317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,8317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,8317) x common factors =1 x 1 = 1
LCM(509,8317) = ( 509 × 8317 ) / 1
LCM(509,8317) = 4233353 / 1
LCM(509,8317) = 4233353
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FAQs on GCF of Fractions of 9128/509, 7245/8317
1. What is the HCF of 9128,7245?
The HCF of 9128,7245 is 7
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 9128/509, 7245/8317?
Answer: GCF of Numerators as per given numbers 9128/509, 7245/8317 is
GCF of Numerators i.e. for 9128,7245 is 7
LCM of denominators i.e. for 509,8317 is 4233353.
Thus, GCF of Fractions is 7/4233353.Finally, GCF of Fractions for 9128/509, 7245/8317 is 7/4233353.