GCF of 1468/197, 5538/4844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1468/197, 5538/4844 i.e 2/954268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1468/197, 5538/4844.
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 1468/197,5538/4844?
Given fractions are 1468/197,5538/4844
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 1468/197,5538/4844, numerators are 1468,5538
Denominators are 197,4844
The GCF of 1468,5538 is 2 .
LCM of 197,4844 is 954268.
The greatest common factor of 1468/197,5538/4844 = [GCF of 1468,5538]/[LCM of 197,4844]= 2/954268
Therefore, the GCF of 1468/197,5538/4844 is 2/954268.
To find the highest common factor of 1468,5538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1468 are 1, 2, 4, 367, 734, 1468
The factors of 5538 are 1, 2, 3, 6, 13, 26, 39, 71, 78, 142, 213, 426, 923, 1846, 2769, 5538
The HCF of 1468,5538 is 2.
Lets's calculate GCF of 1468,5538
| 2 | 1468, 5538 |
| 734, 2769 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1468,5538 By Matching Biggest Common Factor Method
Now, list down the factors of 1468
:1,2,4,367,734,1468
Now, list down the factors of 5538
:1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538
Greatest Common Factor
We found the factors 1468,5538 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,5538 is 2.
Lets's calculate LCM of 197,4844
Given numbers has no common factors except 1. So, there LCM is their product i.e 954268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/954268
Therefore, the GCF of Fractions 1468/197,5538/4844 is 2/954268
Least Common Multiple of 197,4844 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 197,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,4844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,4844) x common factors =1 x 1 = 1
LCM(197,4844) = ( 197 × 4844 ) / 1
LCM(197,4844) = 954268 / 1
LCM(197,4844) = 954268
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FAQs on GCF of Fractions of 1468/197, 5538/4844
1. What is the HCF of 1468,5538?
The HCF of 1468,5538 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 1468/197, 5538/4844?
Answer: GCF of Numerators as per given numbers 1468/197, 5538/4844 is
GCF of Numerators i.e. for 1468,5538 is 2
LCM of denominators i.e. for 197,4844 is 954268.
Thus, GCF of Fractions is 2/954268.Finally, GCF of Fractions for 1468/197, 5538/4844 is 2/954268.