GCF of 3211/241, 5738/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3211/241, 5738/298 i.e 19/71818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3211/241, 5738/298.
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 3211/241,5738/298?
Given fractions are 3211/241,5738/298
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 3211/241,5738/298, numerators are 3211,5738
Denominators are 241,298
The GCF of 3211,5738 is 19 .
LCM of 241,298 is 71818.
The greatest common factor of 3211/241,5738/298 = [GCF of 3211,5738]/[LCM of 241,298]= 19/71818
Therefore, the GCF of 3211/241,5738/298 is 19/71818.
To find the highest common factor of 3211,5738, we have to find the factors of both numbers and list the highest common factor.
The factors of 3211 are 1, 13, 19, 169, 247, 3211
The factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738
The HCF of 3211,5738 is 19.
Lets's calculate GCF of 3211,5738
| 19 | 3211, 5738 |
| 169, 302 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3211,5738 By Matching Biggest Common Factor Method
Now, list down the factors of 3211
:1,13,19,169,247,3211
Now, list down the factors of 5738
:1,2,19,38,151,302,2869,5738
Greatest Common Factor
We found the factors 3211,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,5738 is 19.
Lets's calculate LCM of 241,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 71818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/71818
Therefore, the GCF of Fractions 3211/241,5738/298 is 19/71818
Least Common Multiple of 241,298 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 241,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,298) x common factors =1 x 1 = 1
LCM(241,298) = ( 241 × 298 ) / 1
LCM(241,298) = 71818 / 1
LCM(241,298) = 71818
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3211/241, 5738/298
1. What is the HCF of 3211,5738?
The HCF of 3211,5738 is 19
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 3211/241, 5738/298?
Answer: GCF of Numerators as per given numbers 3211/241, 5738/298 is
GCF of Numerators i.e. for 3211,5738 is 19
LCM of denominators i.e. for 241,298 is 71818.
Thus, GCF of Fractions is 19/71818.Finally, GCF of Fractions for 3211/241, 5738/298 is 19/71818.