GCF of 354/190, 4838/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 354/190, 4838/908 i.e 118/86260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 354/190, 4838/908.
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 354/190,4838/908?
Given fractions are 354/190,4838/908
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 354/190,4838/908, numerators are 354,4838
Denominators are 190,908
The GCF of 354,4838 is 118 .
LCM of 190,908 is 86260.
The greatest common factor of 354/190,4838/908 = [GCF of 354,4838]/[LCM of 190,908]= 118/86260
Therefore, the GCF of 354/190,4838/908 is 118/86260.
To find the highest common factor of 354,4838, we have to find the factors of both numbers and list the highest common factor.
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838
The HCF of 354,4838 is 118.
Lets's calculate GCF of 354,4838
| 2 | 354, 4838 |
| 59 | 177, 2419 |
| 3, 41 |
∴ So the GCF of the given numbers is 2 x 59 = 118
Greatest Common Factor of 354,4838 By Matching Biggest Common Factor Method
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Now, list down the factors of 4838
:1,2,41,59,82,118,2419,4838
Greatest Common Factor
We found the factors 354,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 354,4838 is 118.
Lets's calculate LCM of 190,908
| 2 | 190, 908 |
| 95, 454 |
∴ So the LCM of the given numbers is 2 x 95 x 454 = 86260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/86260
Therefore, the GCF of Fractions 354/190,4838/908 is 118/86260
Least Common Multiple of 190,908 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 190,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,908) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,908) x common factors =2 x 1 = 2
LCM(190,908) = ( 190 × 908 ) / 2
LCM(190,908) = 172520 / 2
LCM(190,908) = 86260
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FAQs on GCF of Fractions of 354/190, 4838/908
1. What is the HCF of 354,4838?
The HCF of 354,4838 is 118
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 354/190, 4838/908?
Answer: GCF of Numerators as per given numbers 354/190, 4838/908 is
GCF of Numerators i.e. for 354,4838 is 118
LCM of denominators i.e. for 190,908 is 86260.
Thus, GCF of Fractions is 118/86260.Finally, GCF of Fractions for 354/190, 4838/908 is 118/86260.