GCF of 5298/367, 7359/3431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5298/367, 7359/3431 i.e 3/1259177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5298/367, 7359/3431.
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 5298/367,7359/3431?
Given fractions are 5298/367,7359/3431
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 5298/367,7359/3431, numerators are 5298,7359
Denominators are 367,3431
The GCF of 5298,7359 is 3 .
LCM of 367,3431 is 1259177.
The greatest common factor of 5298/367,7359/3431 = [GCF of 5298,7359]/[LCM of 367,3431]= 3/1259177
Therefore, the GCF of 5298/367,7359/3431 is 3/1259177.
To find the highest common factor of 5298,7359, we have to find the factors of both numbers and list the highest common factor.
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The HCF of 5298,7359 is 3.
Lets's calculate GCF of 5298,7359
| 3 | 5298, 7359 |
| 1766, 2453 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5298,7359 By Matching Biggest Common Factor Method
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Greatest Common Factor
We found the factors 5298,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 5298,7359 is 3.
Lets's calculate LCM of 367,3431
Given numbers has no common factors except 1. So, there LCM is their product i.e 1259177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1259177
Therefore, the GCF of Fractions 5298/367,7359/3431 is 3/1259177
Least Common Multiple of 367,3431 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 367,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,3431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,3431) x common factors =1 x 1 = 1
LCM(367,3431) = ( 367 × 3431 ) / 1
LCM(367,3431) = 1259177 / 1
LCM(367,3431) = 1259177
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FAQs on GCF of Fractions of 5298/367, 7359/3431
1. What is the HCF of 5298,7359?
The HCF of 5298,7359 is 3
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 5298/367, 7359/3431?
Answer: GCF of Numerators as per given numbers 5298/367, 7359/3431 is
GCF of Numerators i.e. for 5298,7359 is 3
LCM of denominators i.e. for 367,3431 is 1259177.
Thus, GCF of Fractions is 3/1259177.Finally, GCF of Fractions for 5298/367, 7359/3431 is 3/1259177.