GCF of 458/66, 287/7302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 458/66, 287/7302 i.e 1/80322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 458/66, 287/7302.
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 458/66,287/7302?
Given fractions are 458/66,287/7302
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 458/66,287/7302, numerators are 458,287
Denominators are 66,7302
The GCF of 458,287 is 1 .
LCM of 66,7302 is 80322.
The greatest common factor of 458/66,287/7302 = [GCF of 458,287]/[LCM of 66,7302]= 1/80322
Therefore, the GCF of 458/66,287/7302 is 1/80322.
To find the highest common factor of 458,287, we have to find the factors of both numbers and list the highest common factor.
The factors of 458 are 1, 2, 229, 458
The factors of 287 are 1, 7, 41, 287
The HCF of 458,287 is 1.
Lets's calculate GCF of 458,287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 458,287 By Matching Biggest Common Factor Method
Now, list down the factors of 458
:1,2,229,458
Now, list down the factors of 287
:1,7,41,287
Greatest Common Factor
We found the factors 458,287 . The biggest common factor number is the GCF number.
So the greatest common factor 458,287 is 1.
Lets's calculate LCM of 66,7302
| 2 | 66, 7302 |
| 3 | 33, 3651 |
| 11, 1217 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1217 = 80322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80322
Therefore, the GCF of Fractions 458/66,287/7302 is 1/80322
Least Common Multiple of 66,7302 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 66,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,7302) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(66,7302) x common factors =6 x 1 = 6
LCM(66,7302) = ( 66 × 7302 ) / 6
LCM(66,7302) = 481932 / 6
LCM(66,7302) = 80322
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FAQs on GCF of Fractions of 458/66, 287/7302
1. What is the HCF of 458,287?
The HCF of 458,287 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 458/66, 287/7302?
Answer: GCF of Numerators as per given numbers 458/66, 287/7302 is
GCF of Numerators i.e. for 458,287 is 1
LCM of denominators i.e. for 66,7302 is 80322.
Thus, GCF of Fractions is 1/80322.Finally, GCF of Fractions for 458/66, 287/7302 is 1/80322.