GCF of 3346/279, 9038/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3346/279, 9038/105 i.e 2/9765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3346/279, 9038/105.
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 3346/279,9038/105?
Given fractions are 3346/279,9038/105
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 3346/279,9038/105, numerators are 3346,9038
Denominators are 279,105
The GCF of 3346,9038 is 2 .
LCM of 279,105 is 9765.
The greatest common factor of 3346/279,9038/105 = [GCF of 3346,9038]/[LCM of 279,105]= 2/9765
Therefore, the GCF of 3346/279,9038/105 is 2/9765.
To find the highest common factor of 3346,9038, we have to find the factors of both numbers and list the highest common factor.
The factors of 3346 are 1, 2, 7, 14, 239, 478, 1673, 3346
The factors of 9038 are 1, 2, 4519, 9038
The HCF of 3346,9038 is 2.
Lets's calculate GCF of 3346,9038
| 2 | 3346, 9038 |
| 1673, 4519 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3346,9038 By Matching Biggest Common Factor Method
Now, list down the factors of 3346
:1,2,7,14,239,478,1673,3346
Now, list down the factors of 9038
:1,2,4519,9038
Greatest Common Factor
We found the factors 3346,9038 . The biggest common factor number is the GCF number.
So the greatest common factor 3346,9038 is 2.
Lets's calculate LCM of 279,105
| 3 | 279, 105 |
| 93, 35 |
∴ So the LCM of the given numbers is 3 x 93 x 35 = 9765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9765
Therefore, the GCF of Fractions 3346/279,9038/105 is 2/9765
Least Common Multiple of 279,105 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 279,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,105) x common factors =3 x 1 = 3
LCM(279,105) = ( 279 × 105 ) / 3
LCM(279,105) = 29295 / 3
LCM(279,105) = 9765
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FAQs on GCF of Fractions of 3346/279, 9038/105
1. What is the HCF of 3346,9038?
The HCF of 3346,9038 is 2
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 3346/279, 9038/105?
Answer: GCF of Numerators as per given numbers 3346/279, 9038/105 is
GCF of Numerators i.e. for 3346,9038 is 2
LCM of denominators i.e. for 279,105 is 9765.
Thus, GCF of Fractions is 2/9765.Finally, GCF of Fractions for 3346/279, 9038/105 is 2/9765.