GCF of 4880/654, 2007/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4880/654, 2007/327 i.e 1/654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4880/654, 2007/327.
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 4880/654,2007/327?
Given fractions are 4880/654,2007/327
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 4880/654,2007/327, numerators are 4880,2007
Denominators are 654,327
The GCF of 4880,2007 is 1 .
LCM of 654,327 is 654.
The greatest common factor of 4880/654,2007/327 = [GCF of 4880,2007]/[LCM of 654,327]= 1/654
Therefore, the GCF of 4880/654,2007/327 is 1/654.
To find the highest common factor of 4880,2007, we have to find the factors of both numbers and list the highest common factor.
The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880
The factors of 2007 are 1, 3, 9, 223, 669, 2007
The HCF of 4880,2007 is 1.
Lets's calculate GCF of 4880,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4880,2007 By Matching Biggest Common Factor Method
Now, list down the factors of 4880
:1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Now, list down the factors of 2007
:1,3,9,223,669,2007
Greatest Common Factor
We found the factors 4880,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 4880,2007 is 1.
Lets's calculate LCM of 654,327
| 3 | 654, 327 |
| 109 | 218, 109 |
| 2, 1 |
∴ So the LCM of the given numbers is 3 x 109 x 2 x 1 = 654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654
Therefore, the GCF of Fractions 4880/654,2007/327 is 1/654
Least Common Multiple of 654,327 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 654,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,327) = 327
common factors(in case of two or more numbers have common factors) = 1
GCF(654,327) x common factors =327 x 1 = 327
LCM(654,327) = ( 654 × 327 ) / 327
LCM(654,327) = 213858 / 327
LCM(654,327) = 654
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FAQs on GCF of Fractions of 4880/654, 2007/327
1. What is the HCF of 4880,2007?
The HCF of 4880,2007 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 4880/654, 2007/327?
Answer: GCF of Numerators as per given numbers 4880/654, 2007/327 is
GCF of Numerators i.e. for 4880,2007 is 1
LCM of denominators i.e. for 654,327 is 654.
Thus, GCF of Fractions is 1/654.Finally, GCF of Fractions for 4880/654, 2007/327 is 1/654.