GCF of 337/219, 3968/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 337/219, 3968/585 i.e 1/42705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/219, 3968/585.
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 337/219,3968/585?
Given fractions are 337/219,3968/585
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 337/219,3968/585, numerators are 337,3968
Denominators are 219,585
The GCF of 337,3968 is 1 .
LCM of 219,585 is 42705.
The greatest common factor of 337/219,3968/585 = [GCF of 337,3968]/[LCM of 219,585]= 1/42705
Therefore, the GCF of 337/219,3968/585 is 1/42705.
To find the highest common factor of 337,3968, we have to find the factors of both numbers and list the highest common factor.
The factors of 337 are 1, 337
The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968
The HCF of 337,3968 is 1.
Lets's calculate GCF of 337,3968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 337,3968 By Matching Biggest Common Factor Method
Now, list down the factors of 337
:1,337
Now, list down the factors of 3968
:1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Greatest Common Factor
We found the factors 337,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 337,3968 is 1.
Lets's calculate LCM of 219,585
| 3 | 219, 585 |
| 73, 195 |
∴ So the LCM of the given numbers is 3 x 73 x 195 = 42705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42705
Therefore, the GCF of Fractions 337/219,3968/585 is 1/42705
Least Common Multiple of 219,585 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 219,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,585) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,585) x common factors =3 x 1 = 3
LCM(219,585) = ( 219 × 585 ) / 3
LCM(219,585) = 128115 / 3
LCM(219,585) = 42705
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FAQs on GCF of Fractions of 337/219, 3968/585
1. What is the HCF of 337,3968?
The HCF of 337,3968 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 337/219, 3968/585?
Answer: GCF of Numerators as per given numbers 337/219, 3968/585 is
GCF of Numerators i.e. for 337,3968 is 1
LCM of denominators i.e. for 219,585 is 42705.
Thus, GCF of Fractions is 1/42705.Finally, GCF of Fractions for 337/219, 3968/585 is 1/42705.