GCF of 9104/312, 8906/5488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9104/312, 8906/5488 i.e 2/214032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9104/312, 8906/5488.
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 9104/312,8906/5488?
Given fractions are 9104/312,8906/5488
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 9104/312,8906/5488, numerators are 9104,8906
Denominators are 312,5488
The GCF of 9104,8906 is 2 .
LCM of 312,5488 is 214032.
The greatest common factor of 9104/312,8906/5488 = [GCF of 9104,8906]/[LCM of 312,5488]= 2/214032
Therefore, the GCF of 9104/312,8906/5488 is 2/214032.
To find the highest common factor of 9104,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 9104,8906 is 2.
Lets's calculate GCF of 9104,8906
| 2 | 9104, 8906 |
| 4552, 4453 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9104,8906 By Matching Biggest Common Factor Method
Now, list down the factors of 9104
:1,2,4,8,16,569,1138,2276,4552,9104
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 9104,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 9104,8906 is 2.
Lets's calculate LCM of 312,5488
| 2 | 312, 5488 |
| 2 | 156, 2744 |
| 2 | 78, 1372 |
| 39, 686 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 686 = 214032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/214032
Therefore, the GCF of Fractions 9104/312,8906/5488 is 2/214032
Least Common Multiple of 312,5488 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 312,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,5488) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(312,5488) x common factors =8 x 1 = 8
LCM(312,5488) = ( 312 × 5488 ) / 8
LCM(312,5488) = 1712256 / 8
LCM(312,5488) = 214032
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FAQs on GCF of Fractions of 9104/312, 8906/5488
1. What is the HCF of 9104,8906?
The HCF of 9104,8906 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 9104/312, 8906/5488?
Answer: GCF of Numerators as per given numbers 9104/312, 8906/5488 is
GCF of Numerators i.e. for 9104,8906 is 2
LCM of denominators i.e. for 312,5488 is 214032.
Thus, GCF of Fractions is 2/214032.Finally, GCF of Fractions for 9104/312, 8906/5488 is 2/214032.