GCF of 1498/138, 5805/5193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1498/138, 5805/5193 i.e 1/238878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1498/138, 5805/5193.
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 1498/138,5805/5193?
Given fractions are 1498/138,5805/5193
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 1498/138,5805/5193, numerators are 1498,5805
Denominators are 138,5193
The GCF of 1498,5805 is 1 .
LCM of 138,5193 is 238878.
The greatest common factor of 1498/138,5805/5193 = [GCF of 1498,5805]/[LCM of 138,5193]= 1/238878
Therefore, the GCF of 1498/138,5805/5193 is 1/238878.
To find the highest common factor of 1498,5805, we have to find the factors of both numbers and list the highest common factor.
The factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498
The factors of 5805 are 1, 3, 5, 9, 15, 27, 43, 45, 129, 135, 215, 387, 645, 1161, 1935, 5805
The HCF of 1498,5805 is 1.
Lets's calculate GCF of 1498,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1498,5805 By Matching Biggest Common Factor Method
Now, list down the factors of 1498
:1,2,7,14,107,214,749,1498
Now, list down the factors of 5805
:1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 1498,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 1498,5805 is 1.
Lets's calculate LCM of 138,5193
| 3 | 138, 5193 |
| 46, 1731 |
∴ So the LCM of the given numbers is 3 x 46 x 1731 = 238878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238878
Therefore, the GCF of Fractions 1498/138,5805/5193 is 1/238878
Least Common Multiple of 138,5193 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 138,5193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5193) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5193) x common factors =3 x 1 = 3
LCM(138,5193) = ( 138 × 5193 ) / 3
LCM(138,5193) = 716634 / 3
LCM(138,5193) = 238878
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FAQs on GCF of Fractions of 1498/138, 5805/5193
1. What is the HCF of 1498,5805?
The HCF of 1498,5805 is 1
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 1498/138, 5805/5193?
Answer: GCF of Numerators as per given numbers 1498/138, 5805/5193 is
GCF of Numerators i.e. for 1498,5805 is 1
LCM of denominators i.e. for 138,5193 is 238878.
Thus, GCF of Fractions is 1/238878.Finally, GCF of Fractions for 1498/138, 5805/5193 is 1/238878.