GCF of 7184/417, 9094/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7184/417, 9094/663 i.e 2/92157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7184/417, 9094/663.
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 7184/417,9094/663?
Given fractions are 7184/417,9094/663
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 7184/417,9094/663, numerators are 7184,9094
Denominators are 417,663
The GCF of 7184,9094 is 2 .
LCM of 417,663 is 92157.
The greatest common factor of 7184/417,9094/663 = [GCF of 7184,9094]/[LCM of 417,663]= 2/92157
Therefore, the GCF of 7184/417,9094/663 is 2/92157.
To find the highest common factor of 7184,9094, we have to find the factors of both numbers and list the highest common factor.
The factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The factors of 9094 are 1, 2, 4547, 9094
The HCF of 7184,9094 is 2.
Lets's calculate GCF of 7184,9094
| 2 | 7184, 9094 |
| 3592, 4547 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7184,9094 By Matching Biggest Common Factor Method
Now, list down the factors of 7184
:1,2,4,8,16,449,898,1796,3592,7184
Now, list down the factors of 9094
:1,2,4547,9094
Greatest Common Factor
We found the factors 7184,9094 . The biggest common factor number is the GCF number.
So the greatest common factor 7184,9094 is 2.
Lets's calculate LCM of 417,663
| 3 | 417, 663 |
| 139, 221 |
∴ So the LCM of the given numbers is 3 x 139 x 221 = 92157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92157
Therefore, the GCF of Fractions 7184/417,9094/663 is 2/92157
Least Common Multiple of 417,663 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 417,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,663) x common factors =3 x 1 = 3
LCM(417,663) = ( 417 × 663 ) / 3
LCM(417,663) = 276471 / 3
LCM(417,663) = 92157
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FAQs on GCF of Fractions of 7184/417, 9094/663
1. What is the HCF of 7184,9094?
The HCF of 7184,9094 is 2
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 7184/417, 9094/663?
Answer: GCF of Numerators as per given numbers 7184/417, 9094/663 is
GCF of Numerators i.e. for 7184,9094 is 2
LCM of denominators i.e. for 417,663 is 92157.
Thus, GCF of Fractions is 2/92157.Finally, GCF of Fractions for 7184/417, 9094/663 is 2/92157.