GCF of 9148/456, 2004/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9148/456, 2004/912 i.e 4/912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9148/456, 2004/912.
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 9148/456,2004/912?
Given fractions are 9148/456,2004/912
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 9148/456,2004/912, numerators are 9148,2004
Denominators are 456,912
The GCF of 9148,2004 is 4 .
LCM of 456,912 is 912.
The greatest common factor of 9148/456,2004/912 = [GCF of 9148,2004]/[LCM of 456,912]= 4/912
Therefore, the GCF of 9148/456,2004/912 is 4/912.
To find the highest common factor of 9148,2004, we have to find the factors of both numbers and list the highest common factor.
The factors of 9148 are 1, 2, 4, 2287, 4574, 9148
The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004
The HCF of 9148,2004 is 4.
Lets's calculate GCF of 9148,2004
| 2 | 9148, 2004 |
| 2 | 4574, 1002 |
| 2287, 501 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9148,2004 By Matching Biggest Common Factor Method
Now, list down the factors of 9148
:1,2,4,2287,4574,9148
Now, list down the factors of 2004
:1,2,3,4,6,12,167,334,501,668,1002,2004
Greatest Common Factor
We found the factors 9148,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 9148,2004 is 4.
Lets's calculate LCM of 456,912
| 2 | 456, 912 |
| 2 | 228, 456 |
| 2 | 114, 228 |
| 3 | 57, 114 |
| 19 | 19, 38 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 1 x 2 = 912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/912
Therefore, the GCF of Fractions 9148/456,2004/912 is 4/912
Least Common Multiple of 456,912 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 456,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,912) = 456
common factors(in case of two or more numbers have common factors) = 1
GCF(456,912) x common factors =456 x 1 = 456
LCM(456,912) = ( 456 × 912 ) / 456
LCM(456,912) = 415872 / 456
LCM(456,912) = 912
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FAQs on GCF of Fractions of 9148/456, 2004/912
1. What is the HCF of 9148,2004?
The HCF of 9148,2004 is 4
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 9148/456, 2004/912?
Answer: GCF of Numerators as per given numbers 9148/456, 2004/912 is
GCF of Numerators i.e. for 9148,2004 is 4
LCM of denominators i.e. for 456,912 is 912.
Thus, GCF of Fractions is 4/912.Finally, GCF of Fractions for 9148/456, 2004/912 is 4/912.