GCF of 4271/446, 6342/1192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4271/446, 6342/1192 i.e 1/265816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4271/446, 6342/1192.
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 4271/446,6342/1192?
Given fractions are 4271/446,6342/1192
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 4271/446,6342/1192, numerators are 4271,6342
Denominators are 446,1192
The GCF of 4271,6342 is 1 .
LCM of 446,1192 is 265816.
The greatest common factor of 4271/446,6342/1192 = [GCF of 4271,6342]/[LCM of 446,1192]= 1/265816
Therefore, the GCF of 4271/446,6342/1192 is 1/265816.
To find the highest common factor of 4271,6342, we have to find the factors of both numbers and list the highest common factor.
The factors of 4271 are 1, 4271
The factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
The HCF of 4271,6342 is 1.
Lets's calculate GCF of 4271,6342
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4271,6342 By Matching Biggest Common Factor Method
Now, list down the factors of 4271
:1,4271
Now, list down the factors of 6342
:1,2,3,6,7,14,21,42,151,302,453,906,1057,2114,3171,6342
Greatest Common Factor
We found the factors 4271,6342 . The biggest common factor number is the GCF number.
So the greatest common factor 4271,6342 is 1.
Lets's calculate LCM of 446,1192
| 2 | 446, 1192 |
| 223, 596 |
∴ So the LCM of the given numbers is 2 x 223 x 596 = 265816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265816
Therefore, the GCF of Fractions 4271/446,6342/1192 is 1/265816
Least Common Multiple of 446,1192 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 446,1192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1192) x common factors =2 x 1 = 2
LCM(446,1192) = ( 446 × 1192 ) / 2
LCM(446,1192) = 531632 / 2
LCM(446,1192) = 265816
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FAQs on GCF of Fractions of 4271/446, 6342/1192
1. What is the HCF of 4271,6342?
The HCF of 4271,6342 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 4271/446, 6342/1192?
Answer: GCF of Numerators as per given numbers 4271/446, 6342/1192 is
GCF of Numerators i.e. for 4271,6342 is 1
LCM of denominators i.e. for 446,1192 is 265816.
Thus, GCF of Fractions is 1/265816.Finally, GCF of Fractions for 4271/446, 6342/1192 is 1/265816.