GCF of 9298/408, 4938/4456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9298/408, 4938/4456 i.e 2/227256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9298/408, 4938/4456.
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 9298/408,4938/4456?
Given fractions are 9298/408,4938/4456
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 9298/408,4938/4456, numerators are 9298,4938
Denominators are 408,4456
The GCF of 9298,4938 is 2 .
LCM of 408,4456 is 227256.
The greatest common factor of 9298/408,4938/4456 = [GCF of 9298,4938]/[LCM of 408,4456]= 2/227256
Therefore, the GCF of 9298/408,4938/4456 is 2/227256.
To find the highest common factor of 9298,4938, we have to find the factors of both numbers and list the highest common factor.
The factors of 9298 are 1, 2, 4649, 9298
The factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938
The HCF of 9298,4938 is 2.
Lets's calculate GCF of 9298,4938
| 2 | 9298, 4938 |
| 4649, 2469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9298,4938 By Matching Biggest Common Factor Method
Now, list down the factors of 9298
:1,2,4649,9298
Now, list down the factors of 4938
:1,2,3,6,823,1646,2469,4938
Greatest Common Factor
We found the factors 9298,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,4938 is 2.
Lets's calculate LCM of 408,4456
| 2 | 408, 4456 |
| 2 | 204, 2228 |
| 2 | 102, 1114 |
| 51, 557 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 51 x 557 = 227256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227256
Therefore, the GCF of Fractions 9298/408,4938/4456 is 2/227256
Least Common Multiple of 408,4456 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 408,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,4456) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(408,4456) x common factors =8 x 1 = 8
LCM(408,4456) = ( 408 × 4456 ) / 8
LCM(408,4456) = 1818048 / 8
LCM(408,4456) = 227256
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FAQs on GCF of Fractions of 9298/408, 4938/4456
1. What is the HCF of 9298,4938?
The HCF of 9298,4938 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 9298/408, 4938/4456?
Answer: GCF of Numerators as per given numbers 9298/408, 4938/4456 is
GCF of Numerators i.e. for 9298,4938 is 2
LCM of denominators i.e. for 408,4456 is 227256.
Thus, GCF of Fractions is 2/227256.Finally, GCF of Fractions for 9298/408, 4938/4456 is 2/227256.