GCF of 7209/622, 9280/9190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7209/622, 9280/9190 i.e 1/2858090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7209/622, 9280/9190.
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 7209/622,9280/9190?
Given fractions are 7209/622,9280/9190
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 7209/622,9280/9190, numerators are 7209,9280
Denominators are 622,9190
The GCF of 7209,9280 is 1 .
LCM of 622,9190 is 2858090.
The greatest common factor of 7209/622,9280/9190 = [GCF of 7209,9280]/[LCM of 622,9190]= 1/2858090
Therefore, the GCF of 7209/622,9280/9190 is 1/2858090.
To find the highest common factor of 7209,9280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209
The factors of 9280 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280
The HCF of 7209,9280 is 1.
Lets's calculate GCF of 7209,9280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7209,9280 By Matching Biggest Common Factor Method
Now, list down the factors of 7209
:1,3,9,27,81,89,267,801,2403,7209
Now, list down the factors of 9280
:1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280
Greatest Common Factor
We found the factors 7209,9280 . The biggest common factor number is the GCF number.
So the greatest common factor 7209,9280 is 1.
Lets's calculate LCM of 622,9190
| 2 | 622, 9190 |
| 311, 4595 |
∴ So the LCM of the given numbers is 2 x 311 x 4595 = 2858090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2858090
Therefore, the GCF of Fractions 7209/622,9280/9190 is 1/2858090
Least Common Multiple of 622,9190 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 622,9190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,9190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,9190) x common factors =2 x 1 = 2
LCM(622,9190) = ( 622 × 9190 ) / 2
LCM(622,9190) = 5716180 / 2
LCM(622,9190) = 2858090
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FAQs on GCF of Fractions of 7209/622, 9280/9190
1. What is the HCF of 7209,9280?
The HCF of 7209,9280 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 7209/622, 9280/9190?
Answer: GCF of Numerators as per given numbers 7209/622, 9280/9190 is
GCF of Numerators i.e. for 7209,9280 is 1
LCM of denominators i.e. for 622,9190 is 2858090.
Thus, GCF of Fractions is 1/2858090.Finally, GCF of Fractions for 7209/622, 9280/9190 is 1/2858090.