GCF of 7331/428, 8451/442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7331/428, 8451/442 i.e 1/94588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7331/428, 8451/442.
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 7331/428,8451/442?
Given fractions are 7331/428,8451/442
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 7331/428,8451/442, numerators are 7331,8451
Denominators are 428,442
The GCF of 7331,8451 is 1 .
LCM of 428,442 is 94588.
The greatest common factor of 7331/428,8451/442 = [GCF of 7331,8451]/[LCM of 428,442]= 1/94588
Therefore, the GCF of 7331/428,8451/442 is 1/94588.
To find the highest common factor of 7331,8451, we have to find the factors of both numbers and list the highest common factor.
The factors of 7331 are 1, 7331
The factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451
The HCF of 7331,8451 is 1.
Lets's calculate GCF of 7331,8451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7331,8451 By Matching Biggest Common Factor Method
Now, list down the factors of 7331
:1,7331
Now, list down the factors of 8451
:1,3,9,27,313,939,2817,8451
Greatest Common Factor
We found the factors 7331,8451 . The biggest common factor number is the GCF number.
So the greatest common factor 7331,8451 is 1.
Lets's calculate LCM of 428,442
| 2 | 428, 442 |
| 214, 221 |
∴ So the LCM of the given numbers is 2 x 214 x 221 = 94588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94588
Therefore, the GCF of Fractions 7331/428,8451/442 is 1/94588
Least Common Multiple of 428,442 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 428,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,442) x common factors =2 x 1 = 2
LCM(428,442) = ( 428 × 442 ) / 2
LCM(428,442) = 189176 / 2
LCM(428,442) = 94588
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FAQs on GCF of Fractions of 7331/428, 8451/442
1. What is the HCF of 7331,8451?
The HCF of 7331,8451 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 7331/428, 8451/442?
Answer: GCF of Numerators as per given numbers 7331/428, 8451/442 is
GCF of Numerators i.e. for 7331,8451 is 1
LCM of denominators i.e. for 428,442 is 94588.
Thus, GCF of Fractions is 1/94588.Finally, GCF of Fractions for 7331/428, 8451/442 is 1/94588.