GCF of 6298/441, 2144/5480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6298/441, 2144/5480 i.e 134/2416680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6298/441, 2144/5480.
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 6298/441,2144/5480?
Given fractions are 6298/441,2144/5480
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 6298/441,2144/5480, numerators are 6298,2144
Denominators are 441,5480
The GCF of 6298,2144 is 134 .
LCM of 441,5480 is 2416680.
The greatest common factor of 6298/441,2144/5480 = [GCF of 6298,2144]/[LCM of 441,5480]= 134/2416680
Therefore, the GCF of 6298/441,2144/5480 is 134/2416680.
To find the highest common factor of 6298,2144, we have to find the factors of both numbers and list the highest common factor.
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144
The HCF of 6298,2144 is 134.
Lets's calculate GCF of 6298,2144
| 2 | 6298, 2144 |
| 67 | 3149, 1072 |
| 47, 16 |
∴ So the GCF of the given numbers is 2 x 67 = 134
Greatest Common Factor of 6298,2144 By Matching Biggest Common Factor Method
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Now, list down the factors of 2144
:1,2,4,8,16,32,67,134,268,536,1072,2144
Greatest Common Factor
We found the factors 6298,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 6298,2144 is 134.
Lets's calculate LCM of 441,5480
Given numbers has no common factors except 1. So, there LCM is their product i.e 2416680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 134/2416680
Therefore, the GCF of Fractions 6298/441,2144/5480 is 134/2416680
Least Common Multiple of 441,5480 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 441,5480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,5480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,5480) x common factors =1 x 1 = 1
LCM(441,5480) = ( 441 × 5480 ) / 1
LCM(441,5480) = 2416680 / 1
LCM(441,5480) = 2416680
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FAQs on GCF of Fractions of 6298/441, 2144/5480
1. What is the HCF of 6298,2144?
The HCF of 6298,2144 is 134
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 6298/441, 2144/5480?
Answer: GCF of Numerators as per given numbers 6298/441, 2144/5480 is
GCF of Numerators i.e. for 6298,2144 is 134
LCM of denominators i.e. for 441,5480 is 2416680.
Thus, GCF of Fractions is 134/2416680.Finally, GCF of Fractions for 6298/441, 2144/5480 is 134/2416680.