GCF of 3929/478, 7089/4252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3929/478, 7089/4252 i.e 1/1016228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3929/478, 7089/4252.
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 3929/478,7089/4252?
Given fractions are 3929/478,7089/4252
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 3929/478,7089/4252, numerators are 3929,7089
Denominators are 478,4252
The GCF of 3929,7089 is 1 .
LCM of 478,4252 is 1016228.
The greatest common factor of 3929/478,7089/4252 = [GCF of 3929,7089]/[LCM of 478,4252]= 1/1016228
Therefore, the GCF of 3929/478,7089/4252 is 1/1016228.
To find the highest common factor of 3929,7089, we have to find the factors of both numbers and list the highest common factor.
The factors of 3929 are 1, 3929
The factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089
The HCF of 3929,7089 is 1.
Lets's calculate GCF of 3929,7089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3929,7089 By Matching Biggest Common Factor Method
Now, list down the factors of 3929
:1,3929
Now, list down the factors of 7089
:1,3,17,51,139,417,2363,7089
Greatest Common Factor
We found the factors 3929,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 3929,7089 is 1.
Lets's calculate LCM of 478,4252
| 2 | 478, 4252 |
| 239, 2126 |
∴ So the LCM of the given numbers is 2 x 239 x 2126 = 1016228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016228
Therefore, the GCF of Fractions 3929/478,7089/4252 is 1/1016228
Least Common Multiple of 478,4252 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 478,4252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,4252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,4252) x common factors =2 x 1 = 2
LCM(478,4252) = ( 478 × 4252 ) / 2
LCM(478,4252) = 2032456 / 2
LCM(478,4252) = 1016228
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FAQs on GCF of Fractions of 3929/478, 7089/4252
1. What is the HCF of 3929,7089?
The HCF of 3929,7089 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 3929/478, 7089/4252?
Answer: GCF of Numerators as per given numbers 3929/478, 7089/4252 is
GCF of Numerators i.e. for 3929,7089 is 1
LCM of denominators i.e. for 478,4252 is 1016228.
Thus, GCF of Fractions is 1/1016228.Finally, GCF of Fractions for 3929/478, 7089/4252 is 1/1016228.