GCF of 298/838, 462/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 298/838, 462/272 i.e 2/113968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/838, 462/272.
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 298/838,462/272?
Given fractions are 298/838,462/272
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 298/838,462/272, numerators are 298,462
Denominators are 838,272
The GCF of 298,462 is 2 .
LCM of 838,272 is 113968.
The greatest common factor of 298/838,462/272 = [GCF of 298,462]/[LCM of 838,272]= 2/113968
Therefore, the GCF of 298/838,462/272 is 2/113968.
To find the highest common factor of 298,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 298,462 is 2.
Lets's calculate GCF of 298,462
| 2 | 298, 462 |
| 149, 231 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 298,462 By Matching Biggest Common Factor Method
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 298,462 . The biggest common factor number is the GCF number.
So the greatest common factor 298,462 is 2.
Lets's calculate LCM of 838,272
| 2 | 838, 272 |
| 419, 136 |
∴ So the LCM of the given numbers is 2 x 419 x 136 = 113968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113968
Therefore, the GCF of Fractions 298/838,462/272 is 2/113968
Least Common Multiple of 838,272 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 838,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,272) x common factors =2 x 1 = 2
LCM(838,272) = ( 838 × 272 ) / 2
LCM(838,272) = 227936 / 2
LCM(838,272) = 113968
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FAQs on GCF of Fractions of 298/838, 462/272
1. What is the HCF of 298,462?
The HCF of 298,462 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 298/838, 462/272?
Answer: GCF of Numerators as per given numbers 298/838, 462/272 is
GCF of Numerators i.e. for 298,462 is 2
LCM of denominators i.e. for 838,272 is 113968.
Thus, GCF of Fractions is 2/113968.Finally, GCF of Fractions for 298/838, 462/272 is 2/113968.