GCF of 7193/742, 9280/9072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7193/742, 9280/9072 i.e 1/480816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7193/742, 9280/9072.
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 7193/742,9280/9072?
Given fractions are 7193/742,9280/9072
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 7193/742,9280/9072, numerators are 7193,9280
Denominators are 742,9072
The GCF of 7193,9280 is 1 .
LCM of 742,9072 is 480816.
The greatest common factor of 7193/742,9280/9072 = [GCF of 7193,9280]/[LCM of 742,9072]= 1/480816
Therefore, the GCF of 7193/742,9280/9072 is 1/480816.
To find the highest common factor of 7193,9280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7193 are 1, 7193
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 7193,9280 is 1.
Lets's calculate GCF of 7193,9280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7193,9280 By Matching Biggest Common Factor Method
Now, list down the factors of 7193
:1,7193
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 7193,9280 . The biggest common factor number is the GCF number.
So the greatest common factor 7193,9280 is 1.
Lets's calculate LCM of 742,9072
| 2 | 742, 9072 |
| 7 | 371, 4536 |
| 53, 648 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 648 = 480816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480816
Therefore, the GCF of Fractions 7193/742,9280/9072 is 1/480816
Least Common Multiple of 742,9072 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 742,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9072) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9072) x common factors =14 x 1 = 14
LCM(742,9072) = ( 742 × 9072 ) / 14
LCM(742,9072) = 6731424 / 14
LCM(742,9072) = 480816
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FAQs on GCF of Fractions of 7193/742, 9280/9072
1. What is the HCF of 7193,9280?
The HCF of 7193,9280 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 7193/742, 9280/9072?
Answer: GCF of Numerators as per given numbers 7193/742, 9280/9072 is
GCF of Numerators i.e. for 7193,9280 is 1
LCM of denominators i.e. for 742,9072 is 480816.
Thus, GCF of Fractions is 1/480816.Finally, GCF of Fractions for 7193/742, 9280/9072 is 1/480816.