GCF of 2007/458, 4460/5652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2007/458, 4460/5652 i.e 223/1294308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2007/458, 4460/5652.
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 2007/458,4460/5652?
Given fractions are 2007/458,4460/5652
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 2007/458,4460/5652, numerators are 2007,4460
Denominators are 458,5652
The GCF of 2007,4460 is 223 .
LCM of 458,5652 is 1294308.
The greatest common factor of 2007/458,4460/5652 = [GCF of 2007,4460]/[LCM of 458,5652]= 223/1294308
Therefore, the GCF of 2007/458,4460/5652 is 223/1294308.
To find the highest common factor of 2007,4460, we have to find the factors of both numbers and list the highest common factor.
The factors of 2007 are 1, 3, 9, 223, 669, 2007
The factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460
The HCF of 2007,4460 is 223.
Lets's calculate GCF of 2007,4460
| 223 | 2007, 4460 |
| 9, 20 |
∴ So the GCF of the given numbers is 223 = 223
Greatest Common Factor of 2007,4460 By Matching Biggest Common Factor Method
Now, list down the factors of 2007
:1,3,9,223,669,2007
Now, list down the factors of 4460
:1,2,4,5,10,20,223,446,892,1115,2230,4460
Greatest Common Factor
We found the factors 2007,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,4460 is 223.
Lets's calculate LCM of 458,5652
| 2 | 458, 5652 |
| 229, 2826 |
∴ So the LCM of the given numbers is 2 x 229 x 2826 = 1294308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 223/1294308
Therefore, the GCF of Fractions 2007/458,4460/5652 is 223/1294308
Least Common Multiple of 458,5652 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 458,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,5652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,5652) x common factors =2 x 1 = 2
LCM(458,5652) = ( 458 × 5652 ) / 2
LCM(458,5652) = 2588616 / 2
LCM(458,5652) = 1294308
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FAQs on GCF of Fractions of 2007/458, 4460/5652
1. What is the HCF of 2007,4460?
The HCF of 2007,4460 is 223
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 2007/458, 4460/5652?
Answer: GCF of Numerators as per given numbers 2007/458, 4460/5652 is
GCF of Numerators i.e. for 2007,4460 is 223
LCM of denominators i.e. for 458,5652 is 1294308.
Thus, GCF of Fractions is 223/1294308.Finally, GCF of Fractions for 2007/458, 4460/5652 is 223/1294308.