GCF of 9096/744, 8273/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9096/744, 8273/366 i.e 1/45384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9096/744, 8273/366.
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 9096/744,8273/366?
Given fractions are 9096/744,8273/366
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 9096/744,8273/366, numerators are 9096,8273
Denominators are 744,366
The GCF of 9096,8273 is 1 .
LCM of 744,366 is 45384.
The greatest common factor of 9096/744,8273/366 = [GCF of 9096,8273]/[LCM of 744,366]= 1/45384
Therefore, the GCF of 9096/744,8273/366 is 1/45384.
To find the highest common factor of 9096,8273, we have to find the factors of both numbers and list the highest common factor.
The factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096
The factors of 8273 are 1, 8273
The HCF of 9096,8273 is 1.
Lets's calculate GCF of 9096,8273
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9096,8273 By Matching Biggest Common Factor Method
Now, list down the factors of 9096
:1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096
Now, list down the factors of 8273
:1,8273
Greatest Common Factor
We found the factors 9096,8273 . The biggest common factor number is the GCF number.
So the greatest common factor 9096,8273 is 1.
Lets's calculate LCM of 744,366
| 2 | 744, 366 |
| 3 | 372, 183 |
| 124, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 124 x 61 = 45384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45384
Therefore, the GCF of Fractions 9096/744,8273/366 is 1/45384
Least Common Multiple of 744,366 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 744,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(744,366) x common factors =6 x 1 = 6
LCM(744,366) = ( 744 × 366 ) / 6
LCM(744,366) = 272304 / 6
LCM(744,366) = 45384
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FAQs on GCF of Fractions of 9096/744, 8273/366
1. What is the HCF of 9096,8273?
The HCF of 9096,8273 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 9096/744, 8273/366?
Answer: GCF of Numerators as per given numbers 9096/744, 8273/366 is
GCF of Numerators i.e. for 9096,8273 is 1
LCM of denominators i.e. for 744,366 is 45384.
Thus, GCF of Fractions is 1/45384.Finally, GCF of Fractions for 9096/744, 8273/366 is 1/45384.